Homological Mirror Symmetry New Developments and Perspectives /

• Corporate Author: SpringerLink (Online service)
• Other Authors: Schlesinger, Karl-Georg (Editor), Kreuzer, Maximilian (Editor), Kapustin, Anton (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Physics, 757
• Subjects: Physics.; Category theory (Mathematics).; Homological algebra.; Quantum field theory.; String theory.; Mathematical Methods in Physics.; Category Theory, Homological Algebra.; Quantum Field Theories, String Theory.

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 in...

Table of 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.