Fukaya A_\infty-structures associated to Lefschetz fibrations. III
Symplectic Geometry
2020-03-17 v5
Abstract
Floer cohomology groups are usually defined over a field of formal functions (a Novikov field). Under certain assumptions, one can equip them with connections, which means operations of differentiation with respect to the Novikov variable. This allows one to write differential equations for Floer cohomology classes. Here, we apply that idea to symplectic cohomology groups associated to Lefschetz fibrations, and obtain a relation with enumerative geometry.
Keywords
Cite
@article{arxiv.1608.04012,
title = {Fukaya A_\infty-structures associated to Lefschetz fibrations. III},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:1608.04012},
year = {2020}
}
Comments
v2: added a section describing the relation with equivariant symplectic cohomology; v3: typos removed, very minor expository changes; v4: even less typos