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
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2009.
• Series: Lecture Notes in Physics, 757
• Subjects: Physics.; Algebra.; Mathematical physics.; Physics beyond the Standard Model.; Category Theory, Homological Algebra.; Mathematical Methods in Physics.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-540-68030-7

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-Yau Varieties
• Topological String Theory on Compact Calabi-Yau: Modularity and Boundary Conditions
• Gauge Theory, Mirror Symmetry, and the Geometric Langlands Program
• Homological Mirror Symmetry and Algebraic Cycles
• On Non-Commutative Analytic Spaces Over Non-Archimedean Fields
• Derived Categories and Stacks in Physics.