Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 4, Number 2 (2004), 685-719.
Heegaard Floer homology of certain mapping tori
We calculate the Heegaard Floer homologies for mapping tori associated to certain surface diffeomorphisms, where is any structure on whose first Chern class is non-torsion. Let and be a pair of geometrically dual nonseparating curves on a genus Riemann surface , and let be a curve separating into components of genus and . Write , , and for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms for and that of .
Algebr. Geom. Topol., Volume 4, Number 2 (2004), 685-719.
Received: 6 July 2004
Accepted: 16 August 2004
First available in Project Euclid: 21 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
Jabuka, Stanislav; Mark, Thomas E. Heegaard Floer homology of certain mapping tori. Algebr. Geom. Topol. 4 (2004), no. 2, 685--719. doi:10.2140/agt.2004.4.685. https://projecteuclid.org/euclid.agt/1513882528