Symplectic geometry and mirror symmetry :: proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 /
In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construct...
Gespeichert in:
| Körperschaft: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J. :
World Scientific,
©2001.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger-Yau-Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya-Oh-Ohta-Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov-Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field. |
| Beschreibung: | 1 online resource (ix, 498 pages :) |
| Bibliographie: | Includes bibliographical references. |
| ISBN: | 9789812799821 9812799826 |
Internformat
MARC
| LEADER | 00000cam a2200000 a 4500 | ||
|---|---|---|---|
| 001 | ZDB-4-EBA-ocn268794143 | ||
| 003 | OCoLC | ||
| 005 | 20240705115654.0 | ||
| 006 | m o d | ||
| 007 | cr cnu---unuuu | ||
| 008 | 081104s2001 njua ob 100 0 eng d | ||
| 040 | |a N$T |b eng |e pn |c N$T |d OCLCQ |d IDEBK |d OCLCQ |d OCLCF |d NLGGC |d YDXCP |d STF |d OCLCQ |d OCL |d OCLCQ |d VTS |d NRAMU |d AGLDB |d OCLCQ |d VT2 |d OCLCQ |d WYU |d OCLCQ |d M8D |d UKAHL |d OCLCQ |d OCLCO |d AJS |d OCLCO |d OCLCQ |d OCLCO | ||
| 066 | |c Zsym | ||
| 019 | |a 1045488205 |a 1055407868 |a 1062916173 |a 1081203656 |a 1228560776 | ||
| 020 | |a 9789812799821 |q (electronic bk.) | ||
| 020 | |a 9812799826 |q (electronic bk.) | ||
| 020 | |z 9789810247140 | ||
| 020 | |z 9810247141 | ||
| 035 | |a (OCoLC)268794143 |z (OCoLC)1045488205 |z (OCoLC)1055407868 |z (OCoLC)1062916173 |z (OCoLC)1081203656 |z (OCoLC)1228560776 | ||
| 050 | 4 | |a QC174.17.S9 |b K53 2001eb | |
| 072 | 7 | |a MAT |x 012030 |2 bisacsh | |
| 082 | 7 | |a 516.3/6 |2 22 | |
| 049 | |a MAIN | ||
| 111 | 2 | |a KIAS International Conference |n (4th : |d 2000 : |c Seoul, Korea) | |
| 245 | 1 | 0 | |a Symplectic geometry and mirror symmetry : |b proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / |c editors, K. Fukaya [and others]. |
| 260 | |a River Edge, N.J. : |b World Scientific, |c ©2001. | ||
| 300 | |a 1 online resource (ix, 498 pages :) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 504 | |a Includes bibliographical references. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Estimated transversahty in symplectic geometry and projective maps / D. Auroux -- Local mirror symmetry and five-dimensional gauge theory / T. Eguchi -- The Toda conjecture / E. Getzler -- Examples of special Lagrangian fibrations / M. Gross -- Linear models of supersymmetric D-branes / K. Hori -- The connectedness of the moduli space of maps to homogeneous spaces / B. Kim and R. Pandharipande -- Homological mirror symmetry and torus fibrations / M. Kontsevich and Y. Soibelman -- Genus-1 Virasoro conjecture on the small phase space / X. Liu -- Obstruction to and deformation of Lagrangian intersection Floer cohomology / H. Ohta -- Topological open p-branes / J.-S. Park -- Lagrangian torus fibration and mirror symmetry of Calabi-Yau manifolds / W.-D. Ruan -- More about vanishing cycles and mutation / P. Seidel -- Moment maps, monodromy and mirror manifolds / R. Thomas. | |
| 520 | |a In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger-Yau-Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya-Oh-Ohta-Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov-Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field. | ||
| 650 | 0 | |a Mirror symmetry |v Congresses. | |
| 650 | 0 | |a Symplectic groups |v Congresses. | |
| 650 | 6 | |a Symétrie du miroir |v Congrès. | |
| 650 | 6 | |a Groupes symplectiques |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Differential. |2 bisacsh | |
| 650 | 7 | |a Mirror symmetry |2 fast | |
| 650 | 7 | |a Symplectic groups |2 fast | |
| 655 | 7 | |a Conference papers and proceedings |2 fast | |
| 700 | 1 | |a Fukaya, Kenji, |d 1959- |0 http://id.loc.gov/authorities/names/nr95006336 | |
| 776 | 0 | 8 | |i Print version: |a KIAS International Conference (4th : 2000 : Seoul, Korea). |t Symplectic geometry and mirror symmetry. |d River Edge, N.J. : World Scientific, ©2001 |z 9810247141 |z 9789810247140 |w (DLC) 2002265713 |w (OCoLC)48887366 |
| 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=235787 |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=235787 |3 Volltext | |
| 880 | 2 | |6 710-00/Zsym |a Kod�ung Kwahagw�on (Korea). |b International Conference. | |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH24685495 | ||
| 938 | |a EBSCOhost |b EBSC |n 235787 | ||
| 938 | |a YBP Library Services |b YANK |n 2915180 | ||
| 994 | |a 92 |b GEBAY | ||
| 912 | |a ZDB-4-EBA | ||
Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn268794143 |
|---|---|
| _version_ | 1813903328129581056 |
| adam_text | |
| any_adam_object | |
| author2 | Fukaya, Kenji, 1959- |
| author2_role | |
| author2_variant | k f kf |
| author_GND | http://id.loc.gov/authorities/names/nr95006336 |
| author_corporate | KIAS International Conference Seoul, Korea |
| author_corporate_role | |
| author_facet | Fukaya, Kenji, 1959- KIAS International Conference Seoul, Korea |
| author_sort | KIAS International Conference Seoul, Korea |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QC174 |
| callnumber-raw | QC174.17.S9 K53 2001eb |
| callnumber-search | QC174.17.S9 K53 2001eb |
| callnumber-sort | QC 3174.17 S9 K53 42001EB |
| callnumber-subject | QC - Physics |
| collection | ZDB-4-EBA |
| contents | Estimated transversahty in symplectic geometry and projective maps / D. Auroux -- Local mirror symmetry and five-dimensional gauge theory / T. Eguchi -- The Toda conjecture / E. Getzler -- Examples of special Lagrangian fibrations / M. Gross -- Linear models of supersymmetric D-branes / K. Hori -- The connectedness of the moduli space of maps to homogeneous spaces / B. Kim and R. Pandharipande -- Homological mirror symmetry and torus fibrations / M. Kontsevich and Y. Soibelman -- Genus-1 Virasoro conjecture on the small phase space / X. Liu -- Obstruction to and deformation of Lagrangian intersection Floer cohomology / H. Ohta -- Topological open p-branes / J.-S. Park -- Lagrangian torus fibration and mirror symmetry of Calabi-Yau manifolds / W.-D. Ruan -- More about vanishing cycles and mutation / P. Seidel -- Moment maps, monodromy and mirror manifolds / R. Thomas. |
| ctrlnum | (OCoLC)268794143 |
| dewey-full | 516.3/6 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/6 |
| dewey-search | 516.3/6 |
| dewey-sort | 3516.3 16 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic Conference Proceeding eBook |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>05095cam a2200565 a 4500</leader><controlfield tag="001">ZDB-4-EBA-ocn268794143</controlfield><controlfield tag="003">OCoLC</controlfield><controlfield tag="005">20240705115654.0</controlfield><controlfield tag="006">m o d </controlfield><controlfield tag="007">cr cnu---unuuu</controlfield><controlfield tag="008">081104s2001 njua ob 100 0 eng d</controlfield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">N$T</subfield><subfield code="b">eng</subfield><subfield code="e">pn</subfield><subfield code="c">N$T</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">IDEBK</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCF</subfield><subfield code="d">NLGGC</subfield><subfield code="d">YDXCP</subfield><subfield code="d">STF</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VTS</subfield><subfield code="d">NRAMU</subfield><subfield code="d">AGLDB</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">VT2</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">WYU</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">M8D</subfield><subfield code="d">UKAHL</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield><subfield code="d">AJS</subfield><subfield code="d">OCLCO</subfield><subfield code="d">OCLCQ</subfield><subfield code="d">OCLCO</subfield></datafield><datafield tag="066" ind1=" " ind2=" "><subfield code="c">Zsym</subfield></datafield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">1045488205</subfield><subfield code="a">1055407868</subfield><subfield code="a">1062916173</subfield><subfield code="a">1081203656</subfield><subfield code="a">1228560776</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789812799821</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9812799826</subfield><subfield code="q">(electronic bk.)</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9789810247140</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9810247141</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)268794143</subfield><subfield code="z">(OCoLC)1045488205</subfield><subfield code="z">(OCoLC)1055407868</subfield><subfield code="z">(OCoLC)1062916173</subfield><subfield code="z">(OCoLC)1081203656</subfield><subfield code="z">(OCoLC)1228560776</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QC174.17.S9</subfield><subfield code="b">K53 2001eb</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT</subfield><subfield code="x">012030</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="7" ind2=" "><subfield code="a">516.3/6</subfield><subfield code="2">22</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">MAIN</subfield></datafield><datafield tag="111" ind1="2" ind2=" "><subfield code="a">KIAS International Conference</subfield><subfield code="n">(4th :</subfield><subfield code="d">2000 :</subfield><subfield code="c">Seoul, Korea)</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Symplectic geometry and mirror symmetry :</subfield><subfield code="b">proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 /</subfield><subfield code="c">editors, K. Fukaya [and others].</subfield></datafield><datafield tag="260" ind1=" " ind2=" "><subfield code="a">River Edge, N.J. :</subfield><subfield code="b">World Scientific,</subfield><subfield code="c">©2001.</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (ix, 498 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="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Print version record.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">Estimated transversahty in symplectic geometry and projective maps / D. Auroux -- Local mirror symmetry and five-dimensional gauge theory / T. Eguchi -- The Toda conjecture / E. Getzler -- Examples of special Lagrangian fibrations / M. Gross -- Linear models of supersymmetric D-branes / K. Hori -- The connectedness of the moduli space of maps to homogeneous spaces / B. Kim and R. Pandharipande -- Homological mirror symmetry and torus fibrations / M. Kontsevich and Y. Soibelman -- Genus-1 Virasoro conjecture on the small phase space / X. Liu -- Obstruction to and deformation of Lagrangian intersection Floer cohomology / H. Ohta -- Topological open p-branes / J.-S. Park -- Lagrangian torus fibration and mirror symmetry of Calabi-Yau manifolds / W.-D. Ruan -- More about vanishing cycles and mutation / P. Seidel -- Moment maps, monodromy and mirror manifolds / R. Thomas.</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger-Yau-Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya-Oh-Ohta-Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov-Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Mirror symmetry</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Symplectic groups</subfield><subfield code="v">Congresses.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Symétrie du miroir</subfield><subfield code="v">Congrès.</subfield></datafield><datafield tag="650" ind1=" " ind2="6"><subfield code="a">Groupes symplectiques</subfield><subfield code="v">Congrès.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS</subfield><subfield code="x">Geometry</subfield><subfield code="x">Differential.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Mirror symmetry</subfield><subfield code="2">fast</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Symplectic groups</subfield><subfield code="2">fast</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Conference papers and proceedings</subfield><subfield code="2">fast</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Fukaya, Kenji,</subfield><subfield code="d">1959-</subfield><subfield code="0">http://id.loc.gov/authorities/names/nr95006336</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">KIAS International Conference (4th : 2000 : Seoul, Korea).</subfield><subfield code="t">Symplectic geometry and mirror symmetry.</subfield><subfield code="d">River Edge, N.J. : World Scientific, ©2001</subfield><subfield code="z">9810247141</subfield><subfield code="z">9789810247140</subfield><subfield code="w">(DLC) 2002265713</subfield><subfield code="w">(OCoLC)48887366</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=235787</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=235787</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="880" ind1="2" ind2=" "><subfield code="6">710-00/Zsym</subfield><subfield code="a">Kod�ung Kwahagw�on (Korea).</subfield><subfield code="b">International Conference.</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">Askews and Holts Library Services</subfield><subfield code="b">ASKH</subfield><subfield code="n">AH24685495</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">EBSCOhost</subfield><subfield code="b">EBSC</subfield><subfield code="n">235787</subfield></datafield><datafield tag="938" ind1=" " ind2=" "><subfield code="a">YBP Library Services</subfield><subfield code="b">YANK</subfield><subfield code="n">2915180</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 | Conference papers and proceedings fast |
| genre_facet | Conference papers and proceedings |
| id | ZDB-4-EBA-ocn268794143 |
| illustrated | Illustrated |
| indexdate | 2024-10-25T16:16:56Z |
| institution | BVB |
| isbn | 9789812799821 9812799826 |
| language | English |
| oclc_num | 268794143 |
| open_access_boolean | |
| owner | MAIN |
| owner_facet | MAIN |
| physical | 1 online resource (ix, 498 pages :) |
| psigel | ZDB-4-EBA |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | KIAS International Conference (4th : 2000 : Seoul, Korea) Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / editors, K. Fukaya [and others]. River Edge, N.J. : World Scientific, ©2001. 1 online resource (ix, 498 pages :) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references. Print version record. Estimated transversahty in symplectic geometry and projective maps / D. Auroux -- Local mirror symmetry and five-dimensional gauge theory / T. Eguchi -- The Toda conjecture / E. Getzler -- Examples of special Lagrangian fibrations / M. Gross -- Linear models of supersymmetric D-branes / K. Hori -- The connectedness of the moduli space of maps to homogeneous spaces / B. Kim and R. Pandharipande -- Homological mirror symmetry and torus fibrations / M. Kontsevich and Y. Soibelman -- Genus-1 Virasoro conjecture on the small phase space / X. Liu -- Obstruction to and deformation of Lagrangian intersection Floer cohomology / H. Ohta -- Topological open p-branes / J.-S. Park -- Lagrangian torus fibration and mirror symmetry of Calabi-Yau manifolds / W.-D. Ruan -- More about vanishing cycles and mutation / P. Seidel -- Moment maps, monodromy and mirror manifolds / R. Thomas. In 1993, M. Kontsevich proposed a conceptual framework for explaining the phenomenon of mirror symmetry. Mirror symmetry had been discovered by physicists in string theory as a duality between families of three-dimensional Calabi-Yau manifolds. Kontsevich's proposal uses Fukaya's construction of the A∞-category of Lagrangian submanifolds on the symplectic side and the derived category of coherent sheaves on the complex side. The theory of mirror symmetry was further enhanced by physicists in the language of D-branes and also by Strominger-Yau-Zaslow in the geometric set-up of (special) Lagrangian torus fibrations. It rapidly expanded its scope across from geometry, topology, algebra to physics. In this volume, leading experts in the field explore recent developments in relation to homological mirror symmetry, Floer theory, D-branes and Gromov-Witten invariants. Kontsevich-Soibelman describe their solution to the mirror conjecture on the abelian variety based on the deformation theory of A∞-categories, and Ohta describes recent work on the Lagrangian intersection Floer theory by Fukaya-Oh-Ohta-Ono which takes an important step towards a rigorous construction of the A∞-category. There follow a number of contributions on the homological mirror symmetry, D-branes and the Gromov-Witten invariants, e.g. Getzler shows how the Toda conjecture follows from recent work of Givental, Okounkov and Pandharipande. This volume provides a timely presentation of the important developments of recent years in this rapidly growing field. Mirror symmetry Congresses. Symplectic groups Congresses. Symétrie du miroir Congrès. Groupes symplectiques Congrès. MATHEMATICS Geometry Differential. bisacsh Mirror symmetry fast Symplectic groups fast Conference papers and proceedings fast Fukaya, Kenji, 1959- http://id.loc.gov/authorities/names/nr95006336 Print version: KIAS International Conference (4th : 2000 : Seoul, Korea). Symplectic geometry and mirror symmetry. River Edge, N.J. : World Scientific, ©2001 9810247141 9789810247140 (DLC) 2002265713 (OCoLC)48887366 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235787 Volltext CBO01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235787 Volltext 710-00/Zsym Kod�ung Kwahagw�on (Korea). International Conference. |
| spellingShingle | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / Estimated transversahty in symplectic geometry and projective maps / D. Auroux -- Local mirror symmetry and five-dimensional gauge theory / T. Eguchi -- The Toda conjecture / E. Getzler -- Examples of special Lagrangian fibrations / M. Gross -- Linear models of supersymmetric D-branes / K. Hori -- The connectedness of the moduli space of maps to homogeneous spaces / B. Kim and R. Pandharipande -- Homological mirror symmetry and torus fibrations / M. Kontsevich and Y. Soibelman -- Genus-1 Virasoro conjecture on the small phase space / X. Liu -- Obstruction to and deformation of Lagrangian intersection Floer cohomology / H. Ohta -- Topological open p-branes / J.-S. Park -- Lagrangian torus fibration and mirror symmetry of Calabi-Yau manifolds / W.-D. Ruan -- More about vanishing cycles and mutation / P. Seidel -- Moment maps, monodromy and mirror manifolds / R. Thomas. Mirror symmetry Congresses. Symplectic groups Congresses. Symétrie du miroir Congrès. Groupes symplectiques Congrès. MATHEMATICS Geometry Differential. bisacsh Mirror symmetry fast Symplectic groups fast |
| title | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / |
| title_auth | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / |
| title_exact_search | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / |
| title_full | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / editors, K. Fukaya [and others]. |
| title_fullStr | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / editors, K. Fukaya [and others]. |
| title_full_unstemmed | Symplectic geometry and mirror symmetry : proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / editors, K. Fukaya [and others]. |
| title_short | Symplectic geometry and mirror symmetry : |
| title_sort | symplectic geometry and mirror symmetry proceedings of the 4th kias annual international conference korea institute for advanced study seoul south korea 14 18 august 2000 |
| title_sub | proceedings of the 4th KIAS Annual International Conference, Korea Institute for Advanced Study, Seoul, South Korea, 14-18 August 2000 / |
| topic | Mirror symmetry Congresses. Symplectic groups Congresses. Symétrie du miroir Congrès. Groupes symplectiques Congrès. MATHEMATICS Geometry Differential. bisacsh Mirror symmetry fast Symplectic groups fast |
| topic_facet | Mirror symmetry Congresses. Symplectic groups Congresses. Symétrie du miroir Congrès. Groupes symplectiques Congrès. MATHEMATICS Geometry Differential. Mirror symmetry Symplectic groups Conference papers and proceedings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235787 |
| work_keys_str_mv | AT kiasinternationalconferenceseoulkorea symplecticgeometryandmirrorsymmetryproceedingsofthe4thkiasannualinternationalconferencekoreainstituteforadvancedstudyseoulsouthkorea1418august2000 AT fukayakenji symplecticgeometryandmirrorsymmetryproceedingsofthe4thkiasannualinternationalconferencekoreainstituteforadvancedstudyseoulsouthkorea1418august2000 |