Lectures on Mirror Symmetry, Derived Categories, and D-branes
Anton Kapustin, Dmitri Orlov
Abstract
This paper is an introduction to Homological Mirror Symmetry, derived categories, and topological D-branes aimed mainly at a mathematical audience. In the paper we explain the physicists' viewpoint of the Mirror Phenomenon, its relation to derived categories, and the reason why it is necessary to enlarge the Fukaya category with coisotropic A-branes; we discuss how to extend the definition of Floer homology to such objects and describe mirror symmetry for flat tori. The paper consists of four lectures which were given at the Institute for Pure and Applied Mathematics (Los Angeles), March 2003, as part of a program on Symplectic Geometry and Physics.
Create a lesson
Related papers
Heavy-Light Wall Crossings and Motivic Asymptotics of Moduli Spaces of Curves. Part I: Stabilization Graphs and Euler Characteristics
Giordano Cotti
The pliability of del Pezzo surfaces
Elias Kurz, Egor Yasinsky
Hessenberg character
Patrick Brosnan, Jaehyun Hong, Donggun Lee
On the geometric degree of the prolongation varieties of the differential system x1'=x22, x2'=x12
Mattia Puddu
The super Weil-Petersson asymptotic expansion and the coefficients
Xuanyu Huang, Kefeng Liu, Hao Xu
On the proof of multi-variable n/d-conjecture for hyperplane arrangements
Rui Tan, Fanghan Xiang