A long exact sequence for symplectic Floer cohomology
Symplectic Geometry
2007-05-23 v2
Abstract
The long exact sequence describes how the Floer cohomology of two Lagrangian submanifolds changes if one of them is modified by applying a Dehn twist. We give a proof in the simplest case (no bubbling). The paper contains a certain amount of material that may be of interest independently of the exact sequence: in particular, chapter 1 covers "symplectic Picard-Lefschetz theory" in some detail, and chapter 2 contains a generalization of the usual TQFT setup for Floer cohomology.
Cite
@article{arxiv.math/0105186,
title = {A long exact sequence for symplectic Floer cohomology},
author = {Paul Seidel},
journal= {arXiv preprint arXiv:math/0105186},
year = {2007}
}
Comments
70 pages, 12 eps figures