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The periodic Floer homology of a Dehn twist

Michael Hutchings·Michael Sullivan
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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.

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Michael Hutchings, Michael Sullivan. 2005-05-02. The periodic Floer homology of a Dehn twist. https://doi.org/10.2140/agt.2005.5.301

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