Algebraic & Geometric Topology 5 (2005) 301–354

DOI: 10.2140/agt.2005.5.301

arXiv: math.SG/0410059

Abstract

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.

Keywords

periodic Floer homology, Dehn twist, surface symplectomorphism

Mathematical Subject Classification

Primary: 57R58

Secondary: 53D40, 57R50

References

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Publication

Received: 9 October 2004
Accepted: 8 March 2005
Published: 17 April 2005

Authors