Algebraic & Geometric Topology 4 (2004) 685–719

DOI: 10.2140/agt.2004.4.685

arXiv: math.GT/0405314

Abstract

We calculate the Heegaard Floer homologies HF⁺(M,s) for mapping tori M associated to certain surface diffeomorphisms, where s is any spin^c structure on M whose first Chern class is non-torsion. Let γ and δ be a pair of geometrically dual nonseparating curves on a genus g Riemann surface Σ_g, and let σ be a curve separating Σ_g into components of genus 1 and g-1. Write t_γ, t_δ, and t_σ for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms t_γ^m∘t_δⁿ for m,n in Z and that of t_σ^±1.

Keywords

Heegaard Floer homology, mapping tori

Mathematical Subject Classification

Primary: 57R58

Secondary: 53D40

References

Forward citations

Publication

Received: 6 July 2004
Accepted: 16 August 2004
Published: 9 September 2004

Authors