Morse homology, tropical geometry, and homological mirror symmetry for toric varieties

被引：0
|
作者：
Mohammed Abouzaid
机构：
[1] Massachusetts Institute of Technology,
来源：
Selecta Mathematica | 2009年 / 15卷
关键词：
14J32; 53D40; 58E05; Homological mirror symmetry; toric varieties; tropical geometry; Lagrangian Floer homology; Morse homology;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Given a smooth projective toric variety X, we construct an A∞ category of Lagrangians with boundary on a level set of the Landau–Ginzburg mirror of X. We prove that this category is quasi-equivalent to the DG category of line bundles on X.
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页码：189 / 270
页数：81
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