Volume 9, issue 1 (2009)

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Perturbed Floer homology of some fibered three-manifolds

Zhongtao Wu

Algebraic & Geometric Topology 9 (2009) 337–350
Abstract

In this paper, we write down a special Heegaard diagram for a given product three-manifold ${\Sigma }_{g}×{S}^{1}$. We use the diagram to compute the perturbed ${HF}^{\wedge }$ for the $3$–torus and the perturbed ${HF}^{+}$ for nontorsion spin${}^{c}$–structures for ${\Sigma }_{g}×{S}^{1}$ when $g\ge 2$.

Keywords
perturbed, Floer homology, fibered three-manifold
Primary: 53D40