Volume 4, issue 2 (2004)

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ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
Heegaard Floer homology of certain mapping tori

Stanislav Jabuka and Thomas Mark

Algebraic & Geometric Topology 4 (2004) 685–719

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 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 and that of tσ±1.

Keywords
Heegaard Floer homology, mapping tori
Mathematical Subject Classification 2000
Primary: 57R58
Secondary: 53D40
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Publication
Received: 6 July 2004
Accepted: 16 August 2004
Published: 9 September 2004
Authors
Stanislav Jabuka
Department of Mathematics
Columbia University
2990 Broadway
New York NY 10027
USA
Thomas Mark
Department of Mathematics
Southeastern Louisiana University
1205 North Oak Street
Hammond LA 70402
USA