Versality of the relative Fukaya category
Symplectic Geometry
2020-09-30 v2
Abstract
Seidel introduced the notion of a Fukaya category `relative to an ample divisor', explained that it is a deformation of the Fukaya category of the affine variety that is the complement of the divisor, and showed how the relevant deformation theory is controlled by the symplectic cohomology of the complement. We elaborate on Seidel's definition of the relative Fukaya category, and give a criterion under which the deformation is versal.
Keywords
Cite
@article{arxiv.1709.07874,
title = {Versality of the relative Fukaya category},
author = {Nick Sheridan},
journal= {arXiv preprint arXiv:1709.07874},
year = {2020}
}
Comments
138 pages, minor changes