Heegaard Floer Homology of Certain Mapping Tori
نویسنده
چکیده
We calculate the Heegaard Floer homologies HF(M, s) for mapping tori M associated to certain surface diffeomorphisms, where s is any Spin 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 Σg, and let σ be a curve separating Σg into components of genus 1 and g − 1. Write tγ , tδ, and tσ for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms tγ ◦ t n δ for m,n ∈ Z and that of tσ, n ∈ Z.
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