Symplectic Floer homology of area-preserving surface diffeomorphisms
Symplectic Geometry
2014-11-11 v2 Geometric Topology
Abstract
The symplectic Floer homology HF_*(f) of a symplectomorphism f:S->S encodes data about the fixed points of f using counts of holomorphic cylinders in R x M_f, where M_f is the mapping torus of f. We give an algorithm to compute HF_*(f) for f a surface symplectomorphism in a pseudo-Anosov or reducible mapping class, completing the computation of Seidel's HF_*(h) for h any orientation-preserving mapping class.
Keywords
Cite
@article{arxiv.0807.2488,
title = {Symplectic Floer homology of area-preserving surface diffeomorphisms},
author = {Andrew Cotton-Clay},
journal= {arXiv preprint arXiv:0807.2488},
year = {2014}
}
Comments
57 pages, 4 figures. Revision for publication, with various minor corrections. Adds results on the module structure and invariance thereof