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2005 The periodic Floer homology of a Dehn twist
Michael Hutchings, Michael G Sullivan
Algebr. Geom. Topol. 5(1): 301-354 (2005). DOI: 10.2140/agt.2005.5.301

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 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 G Sullivan. "The periodic Floer homology of a Dehn twist." Algebr. Geom. Topol. 5 (1) 301 - 354, 2005. https://doi.org/10.2140/agt.2005.5.301

Information

Received: 9 October 2004; Accepted: 8 March 2005; Published: 2005
First available in Project Euclid: 20 December 2017

zbMATH: 1089.57021
MathSciNet: MR2135555
Digital Object Identifier: 10.2140/agt.2005.5.301

Subjects:
Primary: 57R58
Secondary: 53D40, 57R50

Rights: Copyright © 2005 Mathematical Sciences Publishers

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