2004/10/31 by Michael Hutchings, Michael Sullivan · 1 citation
Mathematics · #math.SG #math.GT #msc:57R58 #msc:53D40 #msc:57R50
paper · pdf · doi:10.2140/agt.2005.5.301
published as Algebr. Geom. Topol. 5 (2005) 301-354 · Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-14.abs.html
arxiv created 2005/05/02 · arxiv updated 2014/09/30
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.