Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 5, Number 1 (2005), 301-354.
The periodic Floer homology of a Dehn twist
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.
Algebr. Geom. Topol., Volume 5, Number 1 (2005), 301-354.
Received: 9 October 2004
Accepted: 8 March 2005
First available in Project Euclid: 20 December 2017
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 57R58: Floer homology
Secondary: 53D40: Floer homology and cohomology, symplectic aspects 57R50: Diffeomorphisms
Hutchings, Michael; Sullivan, Michael G. The periodic Floer homology of a Dehn twist. Algebr. Geom. Topol. 5 (2005), no. 1, 301--354. doi:10.2140/agt.2005.5.301. https://projecteuclid.org/euclid.agt/1513796403