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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

Author: Kenji Fukaya; Kodŭng Kwahagwŏn (Korea). International Conference; Kodŭng Kwahagwŏn (Korea)
Publisher: River Edge, N.J. : World Scientific, ©2001.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
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  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Kodŭng Kwahagwŏn (Korea). International Conference (4th : 2000 : Seoul, Korea).
Symplectic geometry and mirror symmetry.
River Edge, N.J. : World Scientific, ©2001
(DLC) 2002265713
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kenji Fukaya; Kodŭng Kwahagwŏn (Korea). International Conference; Kodŭng Kwahagwŏn (Korea)
ISBN: 1281951382 9781281951380 9786611951382 6611951385 9812799826 9789812799821
OCLC Number: 646768809
Language Note: English.
Description: 1 online resource (ix, 498 pages) : illustrations
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.
Responsibility: editors, K. Fukaya [and others].

Abstract:

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.  Read more...

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<http:\/\/www.worldcat.org\/oclc\/646768809<\/a>> # 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<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a>, schema:MediaObject<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"646768809<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/nju<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1007110827#Place\/river_edge_n_j<\/a>> ; # River Edge, N.J.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/516.36\/e21\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh96008323<\/a>> ; # Mirror symmetry<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1023578<\/a>> ; # Mirror symmetry<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1140990<\/a>> ; # Symplectic groups<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.loc.gov\/authorities\/subjects\/sh85131552<\/a>> ; # Symplectic groups<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> schema:EBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/137480679<\/a>> ; # Kod\u016Dng Kwahagw\u014Fn (Korea). International Conference.<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/14657315<\/a>> ; # Kenji Fukaya<\/span>\n\u00A0\u00A0\u00A0\nschema:copyrightYear<\/a> \"2001<\/span>\" ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/137480679<\/a>> ; # Kod\u016Dng Kwahagw\u014Fn (Korea). International Conference.<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2001<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/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\u221E-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\u221E-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\u221E-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.<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\nschema:description<\/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. 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