Symplectic Floer homology of area-preserving surface diffeomorphisms

Details Symplectic Floer homology of area-preserving surface diffeomorphisms Symplectic Floer homology of area-preserving surface diffeomorphisms

2008-07-16

arxiv.org/abs/0807.2488v2

Geometry & Topology 13 (2009) 2619-2674

Mathematics

Symplectic Geometry

57 pages, 4 figures. Revision for publication, with various minor corrections. Adds results on the module structure and invari

Scientific paper

10.2140/gt.2009.13.2619

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.

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