Symplectic Floer homology of area-preserving surface diffeomorphisms
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 Mf, where Mf 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.
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