A cotangent fibre generates the Fukaya category

被引：36

作者：

Abouzaid, Mohammed ^{[1
]}

机构：

[1] MIT, Dept Math, Cambridge, MA 02139 USA

来源：

ADVANCES IN MATHEMATICS | 2011年 / 228卷 / 02期

关键词：

Fukaya category; Hochschild homology; Symplectic homology; Cotangent bundle; HOMOLOGY;

D O I：

10.1016/j.aim.2011.06.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that the algebra of chains on the based loop space recovers the derived (wrapped) Fukaya category of the cotangent bundle of a closed smooth oriented manifold. The main new idea is the proof that a cotangent fibre generates the Fukaya category using a version of the map from symplectic cohomology to the homology of the free loop space introduced by Cieliebak and Latschev. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：894 / 939

页数：46

共 16 条

[1] Floer homology of cotangent bundles and the loop product [J].