The twisted Floer homology of torus bundles

Ai, Yinghua¹ ; Peters, Thomas D²

¹Department of Mathematics, Tsinghua University, Beijing 100084, China
²Department of Mathematics, Columbia University, MC 4406, 2990 Broadway, New York, NY 10027, United States

Algebraic and Geometric Topology, Tome 10 (2010) no. 2, pp. 679-695

Résumé

We prove an exact sequence for ω–twisted Heegaard Floer homology. As a corollary, given a torus bundle Y over the circle and a cohomology class [ω] ∈ H2(Y ; ℤ) which evaluates nontrivially on the fiber, we compute the Heegaard Floer homology of Y with twisted coefficients in the universal Novikov ring.

Détail

DOI : 10.2140/agt.2010.10.679

Keywords: Floer homology, torus bundles

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