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Heegaard Floer homology of certain mapping tori

2004
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Algebraic and Geometric Topology
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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 gamma and delta be a pair of geometrically dual nonseparating curves on a genus g Riemann surface Sigma_g, and let sigma be a curve separating Sigma_g into components of genus 1 and g-1. Write t-gamma, t_delta, and t_sigma for the right-handed Dehn twists about each of these curves. The examples we

doi:10.2140/agt.2004.4.685
fatcat:fxn7cvzgpradvnzjrvpvav6flm