Space - Time - Matter :: Analytic and Geometric Structures /
This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space - Time - Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theo...
Gespeichert in:
| Weitere Verfasser: | , , , , , , , , , , , , , , , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Boston :
De Gruyter,
[2018]
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space - Time - Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy - Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson-Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity. |
| Beschreibung: | 1 online resource (517 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9783110452150 3110452154 9783110451351 3110451352 3110451530 9783110451535 |
Internformat
MARC
| LEADER | 00000cam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-on1032686991 | ||
| 003 | OCoLC | ||
| 005 | 20240705115654.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 180423s2018 gw fobd z001 0 eng d | ||
| 010 | |a 2018936388 | ||
| 040 | |a DEGRU |b eng |e rda |e pn |c DEGRU |d N$T |d EBLCP |d OCLCF |d CNCGM |d WAU |d OCLCQ |d WYU |d OCLCQ |d NRC |d UKAHL |d UX1 |d OCLCQ |d K6U |d VLY |d BRF |d VT2 |d OCLCO |d OCLCQ |d OCLCO |d DEGRU |d SFB |d OCLCL |d OCLCQ |d SXB | ||
| 019 | |a 1109828238 |a 1162179691 |a 1228601173 | ||
| 020 | |a 9783110452150 |q (electronic bk.) | ||
| 020 | |a 3110452154 |q (electronic bk.) | ||
| 020 | |a 9783110451351 |q (alk. paper) | ||
| 020 | |a 3110451352 |q (alk. paper) | ||
| 020 | |z 3110452154 | ||
| 020 | |z 9783110451535 |q (EPUB) | ||
| 020 | |a 3110451530 | ||
| 020 | |a 9783110451535 | ||
| 024 | 7 | |a 10.1515/9783110452150 |2 doi | |
| 035 | |a (OCoLC)1032686991 |z (OCoLC)1109828238 |z (OCoLC)1162179691 |z (OCoLC)1228601173 | ||
| 050 | 4 | |a QA564 | |
| 072 | 7 | |a MAT007000 |2 bisacsh | |
| 072 | 7 | |a MAT007020 |2 bisacsh | |
| 072 | 7 | |a MAT012000 |2 bisacsh | |
| 072 | 7 | |a MAT012030 |2 bisacsh | |
| 072 | 7 | |a SCI033000 |2 bisacsh | |
| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 072 | 7 | |a SCI061000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 039000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 023000 |2 bisacsh | |
| 072 | 7 | |a MAT |x 026000 |2 bisacsh | |
| 082 | 7 | |a 510 |2 23 | |
| 049 | |a MAIN | ||
| 245 | 0 | 0 | |a Space - Time - Matter : |b Analytic and Geometric Structures / |c Matthias Staudacher, Jochen Brüning. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2018] | |
| 264 | 4 | |c ©2018 | |
| 300 | |a 1 online resource (517 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Contents -- |t Introduction / |r Brüning, Jochen / Staudacher, Matthias -- |t Algebraic K-theory, assembly maps, controlled algebra, and trace methods / |r Reich, Holger / Varisco, Marco -- |t Lorentzian manifolds with special holonomy -- Constructions and global properties / |r Baum, Helga -- |t Contributions to the spectral geometry of locally homogeneous spaces / |r Boldt, Sebastian / Schueth, Dorothee -- |t On conformally covariant differential operators and spectral theory of the holographic Laplacian / |r Juhl, Andreas -- |t Moduli and deformations / |r Altmann, Klaus / Farkas, Gavril -- |t Vector bundles in algebraic geometry and mathematical physics / |r Andreas, Björn / Schmitt, Alexander -- |t Dyson-Schwinger equations: Fix-point equations for quantum fields / |r Kreimer, Dirk -- |t Hidden structure in the form factors of N = 4 SYM / |r Nandan, Dhritiman / Yang, Gang -- |t On regulating the AdS superstring / |r Forini, Valentina -- |t Constraints on CFT observables from the bootstrap program / |r Liendo, Pedro -- |t Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / |r Chiodaroli, Marco -- |t Yangian symmetry inmaximally supersymmetric Yang-Mills theory / |r Ferro, Livia / Plefka, Jan / Staudacher, Matthias -- |t Wave and Dirac equations on manifolds / |r Andersson, Lars / Bär, Christian -- |t Geometric analysis on singular spaces / |r Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- |t Singularities and long-time behavior in nonlinear evolution equations and general relativity / |r Ecker, Klaus / Fiedler, Bernold -- |t Index. |
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 23. Apr 2018). | |
| 504 | |a Includes bibliographical references and index. | ||
| 520 | |a This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space - Time - Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy - Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson-Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity. | ||
| 650 | 0 | |a Geometry, Algebraic. |0 http://id.loc.gov/authorities/subjects/sh85054140 | |
| 650 | 0 | |a Space and time. |0 http://id.loc.gov/authorities/subjects/sh85125911 | |
| 650 | 6 | |a Géométrie algébrique. | |
| 650 | 7 | |a MATHEMATICS |x Essays. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Pre-Calculus. |2 bisacsh | |
| 650 | 7 | |a MATHEMATICS |x Reference. |2 bisacsh | |
| 650 | 7 | |a Geometry, Algebraic |2 fast | |
| 650 | 7 | |a Space and time |2 fast | |
| 653 | |a Mathematical physics. | ||
| 653 | |a algebraic geometry. | ||
| 653 | |a cosmology. | ||
| 653 | |a differential geometry. | ||
| 653 | |a quantum field theory. | ||
| 653 | |a string theory. | ||
| 655 | 4 | |a Electronic book. | |
| 700 | 1 | |a Alexander, Schmitt. | |
| 700 | 1 | |a Altmann, Klaus. | |
| 700 | 1 | |a Andersson, Lars. | |
| 700 | 1 | |a Andreas, Björn. | |
| 700 | 1 | |a Bär, Christian. | |
| 700 | 1 | |a Baum, Helga. | |
| 700 | 1 | |a Brüning, Jochen, |e editor. | |
| 700 | 1 | |a Brüning, Jochen. | |
| 700 | 1 | |a Dittberner, Friederike. | |
| 700 | 1 | |a Ecker, Klaus. | |
| 700 | 1 | |a Farkas, Gavril. | |
| 700 | 1 | |a Fiedler, Bernold. | |
| 700 | 1 | |a Fiorini, Valenti. | |
| 700 | 1 | |a Juhl, Andreas. | |
| 700 | 1 | |a Kreimer, Dirk. | |
| 700 | 1 | |a Nandan, Dhritiman. | |
| 700 | 1 | |a Schüth, Dorothee. | |
| 700 | 1 | |a Staudacher, Matthias, |d 1963- |e editor. |1 https://id.oclc.org/worldcat/entity/E39PBJvt73xhHhYHtfFvwBgxjC |0 http://id.loc.gov/authorities/names/no2018111480 | |
| 758 | |i has work: |a Space-time-matter (Brüning) (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGmFhDGRR7qyqdFvcD3rVP |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |z 9783110451535 |
| 776 | 0 | 8 | |i Print version: |z 9783110451351 |
| 856 | 1 | |l FWS01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404 |3 Volltext | |
| 856 | 1 | |l CBO01 |p ZDB-4-EBA |q FWS_PDA_EBA |u https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404 |3 Volltext | |
| 936 | |a BATCHLOAD | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH31955319 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35151615 | ||
| 938 | |a De Gruyter |b DEGR |n 9783110452150 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5155962 | ||
| 938 | |a EBSCOhost |b EBSC |n 1791404 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-on1032686991 |
|---|---|
| _version_ | 1813903789601587200 |
| adam_text | |
| any_adam_object | |
| author2 | Alexander, Schmitt Altmann, Klaus Andersson, Lars Andreas, Björn Bär, Christian Baum, Helga Brüning, Jochen Brüning, Jochen Dittberner, Friederike Ecker, Klaus Farkas, Gavril Fiedler, Bernold Fiorini, Valenti Juhl, Andreas Kreimer, Dirk Nandan, Dhritiman Schüth, Dorothee Staudacher, Matthias, 1963- |
| author2_role | edt edt |
| author2_variant | s a sa k a ka l a la b a ba c b cb h b hb j b jb j b jb f d fd k e ke g f gf b f bf v f vf a j aj d k dk d n dn d s ds m s ms |
| author_GND | http://id.loc.gov/authorities/names/no2018111480 |
| author_additional | Brüning, Jochen / Staudacher, Matthias -- Reich, Holger / Varisco, Marco -- Baum, Helga -- Boldt, Sebastian / Schueth, Dorothee -- Juhl, Andreas -- Altmann, Klaus / Farkas, Gavril -- Andreas, Björn / Schmitt, Alexander -- Kreimer, Dirk -- Nandan, Dhritiman / Yang, Gang -- Forini, Valentina -- Liendo, Pedro -- Chiodaroli, Marco -- Ferro, Livia / Plefka, Jan / Staudacher, Matthias -- Andersson, Lars / Bär, Christian -- Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- Ecker, Klaus / Fiedler, Bernold -- |
| author_facet | Alexander, Schmitt Altmann, Klaus Andersson, Lars Andreas, Björn Bär, Christian Baum, Helga Brüning, Jochen Brüning, Jochen Dittberner, Friederike Ecker, Klaus Farkas, Gavril Fiedler, Bernold Fiorini, Valenti Juhl, Andreas Kreimer, Dirk Nandan, Dhritiman Schüth, Dorothee Staudacher, Matthias, 1963- |
| author_sort | Alexander, Schmitt |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA564 |
| callnumber-raw | QA564 |
| callnumber-search | QA564 |
| callnumber-sort | QA 3564 |
| callnumber-subject | QA - Mathematics |
| collection | ZDB-4-EBA |
| contents | Frontmatter -- Contents -- Introduction / Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Lorentzian manifolds with special holonomy -- Constructions and global properties / Contributions to the spectral geometry of locally homogeneous spaces / On conformally covariant differential operators and spectral theory of the holographic Laplacian / Moduli and deformations / Vector bundles in algebraic geometry and mathematical physics / Dyson-Schwinger equations: Fix-point equations for quantum fields / Hidden structure in the form factors of N = 4 SYM / On regulating the AdS superstring / Constraints on CFT observables from the bootstrap program / Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Wave and Dirac equations on manifolds / Geometric analysis on singular spaces / Singularities and long-time behavior in nonlinear evolution equations and general relativity / Index. |
| ctrlnum | (OCoLC)1032686991 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>07210cam a2201093 i 4500</leader><controlfield tag="001">ZDB-4-EBA-on1032686991</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20240705115654.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr |||||||||||</controlfield><controlfield tag="008">180423s2018 gw fobd z001 0 eng d</controlfield><datafield tag="010" ind1=" " ind2=" "><subfield code="a"> 2018936388</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DEGRU</subfield><subfield code="b">eng</subfield><subfield code="e">rda</subfield><subfield code="e">pn</subfield><subfield code="c">DEGRU</subfield><subfield code="d">N$T</subfield><subfield code="d">EBLCP</subfield><subfield code="d">OCLCF</subfield><subfield code="d">CNCGM</subfield><subfield code="d">WAU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">NRC</subfield><subfield code="d">UKAHL</subfield><subfield code="d">UX1</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">K6U</subfield><subfield code="d">VLY</subfield><subfield code="d">BRF</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">DEGRU</subfield><subfield code="d">SFB</subfield><subfield code="d">OCLCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">SXB</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1109828238</subfield><subfield code="a">1162179691</subfield><subfield code="a">1228601173</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110452150</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110452154</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110451351</subfield><subfield code="q">(alk. paper)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110451352</subfield><subfield code="q">(alk. paper)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">3110452154</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9783110451535</subfield><subfield code="q">(EPUB)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">3110451530</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783110451535</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9783110452150</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1032686991</subfield><subfield code="z">(OCoLC)1109828238</subfield><subfield code="z">(OCoLC)1162179691</subfield><subfield code="z">(OCoLC)1228601173</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA564</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT007020</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT012000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT012030</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI033000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI040000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">SCI061000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">039000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">023000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">026000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="245" ind1="0" ind2="0"><subfield code="a">Space - Time - Matter :</subfield><subfield code="b">Analytic and Geometric Structures /</subfield><subfield code="c">Matthias Staudacher, Jochen Brüning.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin ;</subfield><subfield code="a">Boston :</subfield><subfield code="b">De Gruyter,</subfield><subfield code="c">[2018]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2018</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (517 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter --</subfield><subfield code="t">Contents --</subfield><subfield code="t">Introduction /</subfield><subfield code="r">Brüning, Jochen / Staudacher, Matthias --</subfield><subfield code="t">Algebraic K-theory, assembly maps, controlled algebra, and trace methods /</subfield><subfield code="r">Reich, Holger / Varisco, Marco --</subfield><subfield code="t">Lorentzian manifolds with special holonomy -- Constructions and global properties /</subfield><subfield code="r">Baum, Helga --</subfield><subfield code="t">Contributions to the spectral geometry of locally homogeneous spaces /</subfield><subfield code="r">Boldt, Sebastian / Schueth, Dorothee --</subfield><subfield code="t">On conformally covariant differential operators and spectral theory of the holographic Laplacian /</subfield><subfield code="r">Juhl, Andreas --</subfield><subfield code="t">Moduli and deformations /</subfield><subfield code="r">Altmann, Klaus / Farkas, Gavril --</subfield><subfield code="t">Vector bundles in algebraic geometry and mathematical physics /</subfield><subfield code="r">Andreas, Björn / Schmitt, Alexander --</subfield><subfield code="t">Dyson-Schwinger equations: Fix-point equations for quantum fields /</subfield><subfield code="r">Kreimer, Dirk --</subfield><subfield code="t">Hidden structure in the form factors of N = 4 SYM /</subfield><subfield code="r">Nandan, Dhritiman / Yang, Gang --</subfield><subfield code="t">On regulating the AdS superstring /</subfield><subfield code="r">Forini, Valentina --</subfield><subfield code="t">Constraints on CFT observables from the bootstrap program /</subfield><subfield code="r">Liendo, Pedro --</subfield><subfield code="t">Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities /</subfield><subfield code="r">Chiodaroli, Marco --</subfield><subfield code="t">Yangian symmetry inmaximally supersymmetric Yang-Mills theory /</subfield><subfield code="r">Ferro, Livia / Plefka, Jan / Staudacher, Matthias --</subfield><subfield code="t">Wave and Dirac equations on manifolds /</subfield><subfield code="r">Andersson, Lars / Bär, Christian --</subfield><subfield code="t">Geometric analysis on singular spaces /</subfield><subfield code="r">Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias --</subfield><subfield code="t">Singularities and long-time behavior in nonlinear evolution equations and general relativity /</subfield><subfield code="r">Ecker, Klaus / Fiedler, Bernold --</subfield><subfield code="t">Index.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Online resource; title from PDF title page (publisher's Web site, viewed 23. Apr 2018).</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space - Time - Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy - Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson-Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Geometry, Algebraic.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85054140</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Space and time.</subfield><subfield code="0">http://id.loc.gov/authorities/subjects/sh85125911</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Géométrie algébrique.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Essays.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Pre-Calculus.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Reference.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Geometry, Algebraic</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Space and time</subfield><subfield code="2">fast</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Mathematical physics.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">algebraic geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">cosmology.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">differential geometry.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">quantum field theory.</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">string theory.</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic book.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Alexander, Schmitt.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Altmann, Klaus.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Andersson, Lars.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Andreas, Björn.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Bär, Christian.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Baum, Helga.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brüning, Jochen,</subfield><subfield code="e">editor.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Brüning, Jochen.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Dittberner, Friederike.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ecker, Klaus.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Farkas, Gavril.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fiedler, Bernold.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fiorini, Valenti.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Juhl, Andreas.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Kreimer, Dirk.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Nandan, Dhritiman.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Schüth, Dorothee.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Staudacher, Matthias,</subfield><subfield code="d">1963-</subfield><subfield code="e">editor.</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PBJvt73xhHhYHtfFvwBgxjC</subfield><subfield code="0">http://id.loc.gov/authorities/names/no2018111480</subfield></datafield><datafield tag="758" ind1=" " ind2=" "><subfield code="i">has work:</subfield><subfield code="a">Space-time-matter (Brüning) (Text)</subfield><subfield code="1">https://id.oclc.org/worldcat/entity/E39PCGmFhDGRR7qyqdFvcD3rVP</subfield><subfield code="4">https://id.oclc.org/worldcat/ontology/hasWork</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="z">9783110451535</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="z">9783110451351</subfield></datafield><datafield tag="856" ind1="1" ind2=" "><subfield code="l">FWS01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="1" ind2=" "><subfield code="l">CBO01</subfield><subfield code="p">ZDB-4-EBA</subfield><subfield code="q">FWS_PDA_EBA</subfield><subfield code="u">https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="936" ind1=" " ind2=" "><subfield code="a">BATCHLOAD</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH31955319</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH35151615</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">De Gruyter</subfield><subfield code="b">DEGR</subfield><subfield code="n">9783110452150</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">ProQuest Ebook Central</subfield><subfield code="b">EBLB</subfield><subfield code="n">EBL5155962</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">1791404</subfield></datafield><datafield tag="994" ind1=" " ind2=" "><subfield code="a">92</subfield><subfield code="b">GEBAY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-4-EBA</subfield></datafield></record></collection> |
| genre | Electronic book. |
| genre_facet | Electronic book. |
| id | ZDB-4-EBA-on1032686991 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-25T16:24:16Z |
| institution | BVB |
| isbn | 9783110452150 3110452154 9783110451351 3110451352 3110451530 9783110451535 |
| language | English |
| lccn | 2018936388 |
| oclc_num | 1032686991 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (517 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2018 |
| publishDateSearch | 2018 |
| publishDateSort | 2018 |
| publisher | De Gruyter, |
| record_format | marc |
| spelling | Space - Time - Matter : Analytic and Geometric Structures / Matthias Staudacher, Jochen Brüning. Berlin ; Boston : De Gruyter, [2018] ©2018 1 online resource (517 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Introduction / Brüning, Jochen / Staudacher, Matthias -- Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Reich, Holger / Varisco, Marco -- Lorentzian manifolds with special holonomy -- Constructions and global properties / Baum, Helga -- Contributions to the spectral geometry of locally homogeneous spaces / Boldt, Sebastian / Schueth, Dorothee -- On conformally covariant differential operators and spectral theory of the holographic Laplacian / Juhl, Andreas -- Moduli and deformations / Altmann, Klaus / Farkas, Gavril -- Vector bundles in algebraic geometry and mathematical physics / Andreas, Björn / Schmitt, Alexander -- Dyson-Schwinger equations: Fix-point equations for quantum fields / Kreimer, Dirk -- Hidden structure in the form factors of N = 4 SYM / Nandan, Dhritiman / Yang, Gang -- On regulating the AdS superstring / Forini, Valentina -- Constraints on CFT observables from the bootstrap program / Liendo, Pedro -- Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Chiodaroli, Marco -- Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Ferro, Livia / Plefka, Jan / Staudacher, Matthias -- Wave and Dirac equations on manifolds / Andersson, Lars / Bär, Christian -- Geometric analysis on singular spaces / Bei, Francesco / Brüning, Jochen / Güneysu, Batu / Ludewig, Matthias -- Singularities and long-time behavior in nonlinear evolution equations and general relativity / Ecker, Klaus / Fiedler, Bernold -- Index. In English. Online resource; title from PDF title page (publisher's Web site, viewed 23. Apr 2018). Includes bibliographical references and index. This monograph describes some of the most interesting results obtained by the mathematicians and physicists collaborating in the CRC 647 "Space - Time - Matter", in the years 2005 - 2016. The work presented concerns the mathematical and physical foundations of string and quantum field theory as well as cosmology. Important topics are the spaces and metrics modelling the geometry of matter, and the evolution of these geometries. The partial differential equations governing such structures and their singularities, special solutions and stability properties are discussed in detail. Contents Introduction Algebraic K-theory, assembly maps, controlled algebra, and trace methods Lorentzian manifolds with special holonomy - Constructions and global properties Contributions to the spectral geometry of locally homogeneous spaces On conformally covariant differential operators and spectral theory of the holographic Laplacian Moduli and deformations Vector bundles in algebraic geometry and mathematical physics Dyson-Schwinger equations: Fix-point equations for quantum fields Hidden structure in the form factors ofN = 4 SYM On regulating the AdS superstring Constraints on CFT observables from the bootstrap program Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities Yangian symmetry in maximally supersymmetric Yang-Mills theory Wave and Dirac equations on manifolds Geometric analysis on singular spaces Singularities and long-time behavior in nonlinear evolution equations and general relativity. Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Géométrie algébrique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry, Algebraic fast Space and time fast Mathematical physics. algebraic geometry. cosmology. differential geometry. quantum field theory. string theory. Electronic book. Alexander, Schmitt. Altmann, Klaus. Andersson, Lars. Andreas, Björn. Bär, Christian. Baum, Helga. Brüning, Jochen, editor. Brüning, Jochen. Dittberner, Friederike. Ecker, Klaus. Farkas, Gavril. Fiedler, Bernold. Fiorini, Valenti. Juhl, Andreas. Kreimer, Dirk. Nandan, Dhritiman. Schüth, Dorothee. Staudacher, Matthias, 1963- editor. https://id.oclc.org/worldcat/entity/E39PBJvt73xhHhYHtfFvwBgxjC http://id.loc.gov/authorities/names/no2018111480 has work: Space-time-matter (Brüning) (Text) https://id.oclc.org/worldcat/entity/E39PCGmFhDGRR7qyqdFvcD3rVP https://id.oclc.org/worldcat/ontology/hasWork Print version: 9783110451535 Print version: 9783110451351 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404 Volltext |
| spellingShingle | Space - Time - Matter : Analytic and Geometric Structures / Frontmatter -- Contents -- Introduction / Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Lorentzian manifolds with special holonomy -- Constructions and global properties / Contributions to the spectral geometry of locally homogeneous spaces / On conformally covariant differential operators and spectral theory of the holographic Laplacian / Moduli and deformations / Vector bundles in algebraic geometry and mathematical physics / Dyson-Schwinger equations: Fix-point equations for quantum fields / Hidden structure in the form factors of N = 4 SYM / On regulating the AdS superstring / Constraints on CFT observables from the bootstrap program / Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Wave and Dirac equations on manifolds / Geometric analysis on singular spaces / Singularities and long-time behavior in nonlinear evolution equations and general relativity / Index. Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Géométrie algébrique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry, Algebraic fast Space and time fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054140 http://id.loc.gov/authorities/subjects/sh85125911 |
| title | Space - Time - Matter : Analytic and Geometric Structures / |
| title_alt | Frontmatter -- Contents -- Introduction / Algebraic K-theory, assembly maps, controlled algebra, and trace methods / Lorentzian manifolds with special holonomy -- Constructions and global properties / Contributions to the spectral geometry of locally homogeneous spaces / On conformally covariant differential operators and spectral theory of the holographic Laplacian / Moduli and deformations / Vector bundles in algebraic geometry and mathematical physics / Dyson-Schwinger equations: Fix-point equations for quantum fields / Hidden structure in the form factors of N = 4 SYM / On regulating the AdS superstring / Constraints on CFT observables from the bootstrap program / Simplifying amplitudes in Maxwell-Einstein and Yang-Mills-Einstein supergravities / Yangian symmetry inmaximally supersymmetric Yang-Mills theory / Wave and Dirac equations on manifolds / Geometric analysis on singular spaces / Singularities and long-time behavior in nonlinear evolution equations and general relativity / Index. |
| title_auth | Space - Time - Matter : Analytic and Geometric Structures / |
| title_exact_search | Space - Time - Matter : Analytic and Geometric Structures / |
| title_full | Space - Time - Matter : Analytic and Geometric Structures / Matthias Staudacher, Jochen Brüning. |
| title_fullStr | Space - Time - Matter : Analytic and Geometric Structures / Matthias Staudacher, Jochen Brüning. |
| title_full_unstemmed | Space - Time - Matter : Analytic and Geometric Structures / Matthias Staudacher, Jochen Brüning. |
| title_short | Space - Time - Matter : |
| title_sort | space time matter analytic and geometric structures |
| title_sub | Analytic and Geometric Structures / |
| topic | Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 Space and time. http://id.loc.gov/authorities/subjects/sh85125911 Géométrie algébrique. MATHEMATICS Essays. bisacsh MATHEMATICS Pre-Calculus. bisacsh MATHEMATICS Reference. bisacsh Geometry, Algebraic fast Space and time fast |
| topic_facet | Geometry, Algebraic. Space and time. Géométrie algébrique. MATHEMATICS Essays. MATHEMATICS Pre-Calculus. MATHEMATICS Reference. Geometry, Algebraic Space and time Electronic book. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1791404 |
| work_keys_str_mv | AT alexanderschmitt spacetimematteranalyticandgeometricstructures AT altmannklaus spacetimematteranalyticandgeometricstructures AT anderssonlars spacetimematteranalyticandgeometricstructures AT andreasbjorn spacetimematteranalyticandgeometricstructures AT barchristian spacetimematteranalyticandgeometricstructures AT baumhelga spacetimematteranalyticandgeometricstructures AT bruningjochen spacetimematteranalyticandgeometricstructures AT dittbernerfriederike spacetimematteranalyticandgeometricstructures AT eckerklaus spacetimematteranalyticandgeometricstructures AT farkasgavril spacetimematteranalyticandgeometricstructures AT fiedlerbernold spacetimematteranalyticandgeometricstructures AT fiorinivalenti spacetimematteranalyticandgeometricstructures AT juhlandreas spacetimematteranalyticandgeometricstructures AT kreimerdirk spacetimematteranalyticandgeometricstructures AT nandandhritiman spacetimematteranalyticandgeometricstructures AT schuthdorothee spacetimematteranalyticandgeometricstructures AT staudachermatthias spacetimematteranalyticandgeometricstructures |