Homological mirror symmetry : new developments and perspectives /

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Bibliographic Details
Imprint:	Berlin : Springer, ©2009.
Description:	1 online resource (xi, 272 pages) : illustrations.
Language:	English
Series:	Lecture notes in physics, 0075-8450 ; 757 Lecture notes in physics ; 757.
Subject:	Mirror symmetry. Homology theory. Homology theory. Mirror symmetry.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11071872

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Other authors / contributors:	Kapustin, A. (Anton) Kreuzer, M. (Maximilian) Schlesinger, Karl-Georg.
ISBN:	9783540680307 3540680306 9783540680291 3540680292 3642087671 9783642087677
Notes:	Includes bibliographical references. Print version record.
Summary:	Homological Mirror Symmetry, the study of dualities of certain quantum field theories in a mathematically rigorous form, has developed into a flourishing subject on its own over the past years. The present volume bridges a gap in the literature by providing a set of lectures and reviews that both introduce and representatively review the state-of-the art in the field from different perspectives. With contributions by K. Fukaya, M. Herbst, K. Hori, M. Huang, A. Kapustin, L. Katzarkov, A. Klemm, M. Kontsevich, D. Page, S. Quackenbush, E. Sharpe, P. Seidel, I. Smith and Y. Soibelman, this volume will be a reference on the topic for everyone starting to work or actively working on mathematical aspects of quantum field theory.
Other form:	Print version: Homological mirror symmetry. Berlin : Springer, ©2009 9783540680291 3540680292

Table of Contents:

The symplectic geometry of cotangent bundles from a categorical viewpoint / K. Fukaya, P. Seidel, and I. Smith
B-type d-branes in toric Calabi-Yau varieties / M. Herbst, K. Hori, and D. Page
Topological string theory on compact Calabi-Yau : modularity and boundary conditions / M.X. Huang, A. Klemm, and S. Quackenbush
Gauge theory, mirror symmetry, and the geometric Langlands program / A. Kapustin
Homological mirror symmetry and algebraic cycles / L. Katzarkov
Notes on A∞-algebras, A∞-categories and non-commutative geometry / M. Kontsevich and Y. Soibelman
On non-commutative analytic spaces over non-Archimedean fields / Y. Soibelman
Derived categories and stacks in physics / E. Sharpe.

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