Covariantly functorial wrapped Floer theory on Liouville sectors
Symplectic Geometry
2020-08-13 v3
Abstract
We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for Liouville sectors, and we show that these invariants are covariantly functorial with respect to inclusions of Liouville sectors. From this foundational setup, a local-to-global principle for Abouzaid's generation criterion follows.
Keywords
Cite
@article{arxiv.1706.03152,
title = {Covariantly functorial wrapped Floer theory on Liouville sectors},
author = {Sheel Ganatra and John Pardon and Vivek Shende},
journal= {arXiv preprint arXiv:1706.03152},
year = {2020}
}
Comments
Final version to appear in Publ Math IHES, 115 pages, 15 figures