Relative index theory, determinants and torsion for open manifolds:
For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for o...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2009
|
| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outline of the necessary tools from nonlinear Sobolev analysis |
| Physical Description: | x, 341 p |
| ISBN: | 9789812771452 |
Staff View
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV044634721 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 171120s2009 |||| o||u| ||||||eng d | ||
| 020 | |a 9789812771452 |c electronic bk. |9 978-981-277-145-2 | ||
| 024 | 7 | |a 10.1142/6597 |2 doi | |
| 035 | |a (ZDB-124-WOP)00000426 | ||
| 035 | |a (OCoLC)1012731371 | ||
| 035 | |a (DE-599)BVBBV044634721 | ||
| 040 | |a DE-604 |b ger |e aacr | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-92 | ||
| 082 | 0 | |a 516.36 |2 22 | |
| 084 | |a SK 350 |0 (DE-625)143233: |2 rvk | ||
| 084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
| 100 | 1 | |a Eichhorn, Jurgen |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Relative index theory, determinants and torsion for open manifolds |c Jurgen Eichhorn |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c2009 | |
| 300 | |a x, 341 p | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 520 | |a For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outline of the necessary tools from nonlinear Sobolev analysis | ||
| 650 | 4 | |a Manifolds (Mathematics) | |
| 650 | 4 | |a Index theory (Mathematics) | |
| 650 | 0 | 7 | |a Determinante |0 (DE-588)4138983-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Torsionstheorie |0 (DE-588)4451084-6 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Indextheorie |0 (DE-588)4161489-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |D s |
| 689 | 0 | 1 | |a Indextheorie |0 (DE-588)4161489-6 |D s |
| 689 | 0 | 2 | |a Torsionstheorie |0 (DE-588)4451084-6 |D s |
| 689 | 0 | 3 | |a Determinante |0 (DE-588)4138983-9 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789812771445 |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9812771441 |
| 856 | 4 | 0 | |u http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc |x Verlag |z URL des Erstveroeffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-030032693 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
| 966 | e | |u http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc |l FHN01 |p ZDB-124-WOP |q FHN_PDA_WOP |x Verlag |3 Volltext | |
Record in the Search Index
| _version_ | 1804178046763139072 |
|---|---|
| any_adam_object | |
| author | Eichhorn, Jurgen |
| author_facet | Eichhorn, Jurgen |
| author_role | aut |
| author_sort | Eichhorn, Jurgen |
| author_variant | j e je |
| building | Verbundindex |
| bvnumber | BV044634721 |
| classification_rvk | SK 350 SK 370 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00000426 (OCoLC)1012731371 (DE-599)BVBBV044634721 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| 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>02717nmm a2200529zc 4500</leader><controlfield tag="001">BV044634721</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">171120s2009 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812771452</subfield><subfield code="c">electronic bk.</subfield><subfield code="9">978-981-277-145-2</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1142/6597</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00000426 </subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1012731371</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV044634721</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-92</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 350</subfield><subfield code="0">(DE-625)143233:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Eichhorn, Jurgen</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Relative index theory, determinants and torsion for open manifolds</subfield><subfield code="c">Jurgen Eichhorn</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific Pub. Co.</subfield><subfield code="c">c2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">x, 341 p</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outline of the necessary tools from nonlinear Sobolev analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Manifolds (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Index theory (Mathematics)</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Determinante</subfield><subfield code="0">(DE-588)4138983-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Torsionstheorie</subfield><subfield code="0">(DE-588)4451084-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Indextheorie</subfield><subfield code="0">(DE-588)4161489-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Torsionstheorie</subfield><subfield code="0">(DE-588)4451084-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="3"><subfield code="a">Determinante</subfield><subfield code="0">(DE-588)4138983-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789812771445</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9812771441</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveroeffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-030032693</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="966" ind1="e" ind2=" "><subfield code="u">http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc</subfield><subfield code="l">FHN01</subfield><subfield code="p">ZDB-124-WOP</subfield><subfield code="q">FHN_PDA_WOP</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield></record></collection> |
| id | DE-604.BV044634721 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:45Z |
| institution | BVB |
| isbn | 9789812771452 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030032693 |
| oclc_num | 1012731371 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | x, 341 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| spelling | Eichhorn, Jurgen Verfasser aut Relative index theory, determinants and torsion for open manifolds Jurgen Eichhorn Singapore World Scientific Pub. Co. c2009 x, 341 p txt rdacontent c rdamedia cr rdacarrier For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators. On open manifolds, nearly all of this fails, with the exception of some special classes. The goal of this monograph is to establish for open manifolds, structures and differential operators an applicable theory of number-valued relative invariants. This is of great use in the theory of moduli spaces for nonlinear partial differential equations and mathematical physics. The book is self-contained: in particular, it contains an outline of the necessary tools from nonlinear Sobolev analysis Manifolds (Mathematics) Index theory (Mathematics) Determinante (DE-588)4138983-9 gnd rswk-swf Torsionstheorie (DE-588)4451084-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Indextheorie (DE-588)4161489-6 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 s Indextheorie (DE-588)4161489-6 s Torsionstheorie (DE-588)4451084-6 s Determinante (DE-588)4138983-9 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 9789812771445 Erscheint auch als Druck-Ausgabe 9812771441 http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Eichhorn, Jurgen Relative index theory, determinants and torsion for open manifolds Manifolds (Mathematics) Index theory (Mathematics) Determinante (DE-588)4138983-9 gnd Torsionstheorie (DE-588)4451084-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Indextheorie (DE-588)4161489-6 gnd |
| subject_GND | (DE-588)4138983-9 (DE-588)4451084-6 (DE-588)4037379-4 (DE-588)4161489-6 |
| title | Relative index theory, determinants and torsion for open manifolds |
| title_auth | Relative index theory, determinants and torsion for open manifolds |
| title_exact_search | Relative index theory, determinants and torsion for open manifolds |
| title_full | Relative index theory, determinants and torsion for open manifolds Jurgen Eichhorn |
| title_fullStr | Relative index theory, determinants and torsion for open manifolds Jurgen Eichhorn |
| title_full_unstemmed | Relative index theory, determinants and torsion for open manifolds Jurgen Eichhorn |
| title_short | Relative index theory, determinants and torsion for open manifolds |
| title_sort | relative index theory determinants and torsion for open manifolds |
| topic | Manifolds (Mathematics) Index theory (Mathematics) Determinante (DE-588)4138983-9 gnd Torsionstheorie (DE-588)4451084-6 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd Indextheorie (DE-588)4161489-6 gnd |
| topic_facet | Manifolds (Mathematics) Index theory (Mathematics) Determinante Torsionstheorie Mannigfaltigkeit Indextheorie |
| url | http://www.worldscientific.com/worldscibooks/10.1142/6597#t=toc |
| work_keys_str_mv | AT eichhornjurgen relativeindextheorydeterminantsandtorsionforopenmanifolds |