Homological mirror symmetry : new developments and perspectives / A. Kapustin, M. Kreuzer, K.-G. Schlesinger (eds.).

Format:

Book

Contributor:

Kapustin, A. (Anton)

Kreuzer, M. (Maximilian)

Schlesinger, Karl-Georg.

Series:

Lecture notes in physics ; 757.

Lecture notes in physics, 0075-8450 ; 757

Language:

English

Subjects (All):

Mirror symmetry.

Homology theory.

Physical Description:

1 online resource (XI, 272 p.)

Edition:

1st ed. 2009.

Place of Publication:

Berlin : Springer, c2009.

Language Note:

English

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.

Contents:

The Symplectic Geometry of Cotangent Bundles from a Categorical Viewpoint

B-Type D-Branes in Toric Calabi#x2013;Yau Varieties

Topological String Theory on Compact Calabi#x2013;Yau: Modularity and Boundary Conditions

Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program

Homological Mirror Symmetry and Algebraic Cycles

Notes on A#x0221E;-Algebras, A#x0221E;-Categories and Non-Commutative Geometry

On Non-Commutative Analytic Spaces Over Non-Archimedean Fields

Derived Categories and Stacks in Physics.

Notes:

Bibliographic Level Mode of Issuance: Monograph

Includes bibliographical references.

ISBN:

9783540680307

3540680306