The periodic Floer homology of a Dehn twist

Details The periodic Floer homology of a Dehn twist The periodic Floer homology of a Dehn twist

2004-10-04

arxiv.org/abs/math/0410059v2

Algebr. Geom. Topol. 5 (2005) 301-354

Mathematics

Symplectic Geometry

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-14.abs.html

Scientific paper

The periodic Floer homology of a surface symplectomorphism, defined by the first author and M. Thaddeus, is the homology of a chain complex which is generated by certain unions of periodic orbits, and whose differential counts certain embedded pseudoholomorphic curves in R cross the mapping torus. It is conjectured to recover the Seiberg-Witten Floer homology of the mapping torus for most spin-c structures, and is related to a variant of contact homology. In this paper we compute the periodic Floer homology of some Dehn twists.

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