Perturbed Floer homology of some fibered three-manifolds

Wu, Zhongtao

doi:10.2140/agt.2009.9.337

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Perturbed Floer homology of some fibered three-manifolds

Zhongtao Wu

Algebraic & Geometric Topology 9 (2009) 337–350

DOI: 10.2140/agt.2009.9.337

Abstract

In this paper, we write down a special Heegaard diagram for a given product three-manifold $Σ_{g} \times S^{1}$ . We use the diagram to compute the perturbed ${H F}^{\land}$ for the $3$ –torus and the perturbed ${H F}^{+}$ for nontorsion spin $^{c}$ –structures for $Σ_{g} \times S^{1}$ when $g \geq 2$ .

Keywords

perturbed, Floer homology, fibered three-manifold

Mathematical Subject Classification 2000

Primary: 53D40

References

Publication

Received: 10 October 2008

Revised: 23 January 2009

Accepted: 31 January 2009

Published: 23 February 2009

Authors

Zhongtao Wu
Department of Mathematics Princeton University Princeton, NJ 08544-1000 USA

Volume 9, issue 1 (2009)