Heegaard Floer homology of certain mapping tori
Stanislav Jabuka, Thomas Mark
Abstract
We calculate the Heegaard Floer homologies$HF+(M,s) for mapping tori M associated to certain surface diffeomorphisms, where s is any Spinc structure on M whose first Chern class is non-torsion. Let gamma and delta be a pair of geometrically dual nonseparating curves on a genus g Riemann surface Sigmag, and let sigma be a curve separating Sigmag into components of genus 1 and g-1. Write t-gamma, tdelta, and tsigma for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms tgammam circ tdeltan for m,n in Z and that of tsigma+-1.
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