A cotangent fibre generates the Fukaya category
Symplectic Geometry
2015-03-13 v5 Algebraic Topology
Abstract
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 orientable 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.
Keywords
Cite
@article{arxiv.1003.4449,
title = {A cotangent fibre generates the Fukaya category},
author = {Mohammed Abouzaid},
journal= {arXiv preprint arXiv:1003.4449},
year = {2015}
}
Comments
40 pages, 10 figures. Minor changes. Final version to appear in Advances in Mathematics