Open Access
Translator Disclaimer
2004 Heegaard Floer homology of certain mapping tori
Stanislav Jabuka, Thomas E Mark
Algebr. Geom. Topol. 4(2): 685-719 (2004). DOI: 10.2140/agt.2004.4.685

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 g1. 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 tγmtδn for m,n and that of tσ±1.

Citation

Download Citation

Stanislav Jabuka. Thomas E Mark. "Heegaard Floer homology of certain mapping tori." Algebr. Geom. Topol. 4 (2) 685 - 719, 2004. https://doi.org/10.2140/agt.2004.4.685

Information

Received: 6 July 2004; Accepted: 16 August 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1052.57046
MathSciNet: MR2100677
Digital Object Identifier: 10.2140/agt.2004.4.685

Subjects:
Primary: 57R58
Secondary: 53D40

Rights: Copyright © 2004 Mathematical Sciences Publishers

JOURNAL ARTICLE
35 PAGES


SHARE
Vol.4 • No. 2 • 2004
MSP
Back to Top