Heegaard Floer homology of certain mapping tori

Jabuka, Stanislav¹ ; Mark, Thomas E²

¹Department of Mathematics, Columbia University, 2990 Broadway, New York NY 10027, USA
²Department of Mathematics, Southeastern Louisiana University, 1205 North Oak Street, Hammond LA 70402, USA

Algebraic and Geometric Topology, Tome 4 (2004) no. 2, pp. 685-719

Résumé

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 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 tγm ∘ tδn for m,n ∈ ℤ and that of tσ±1.

Détail

DOI : 10.2140/agt.2004.4.685

Keywords: Heegaard Floer homology, mapping tori

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