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The twisted Floer homology of torus bundles

Yinghua Ai and Thomas D Peters
Algebraic & Geometric Topology 10 (2010) 679–695
DOI: 10.2140/agt.2010.10.679
Abstract

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.

Keywords
Floer homology, torus bundles
Mathematical Subject Classification 2000
Primary: 57M27
Secondary: 53D40
References
Publication
Received: 22 November 2008
Revised: 28 October 2009
Accepted: 26 November 2009
Published: 19 March 2010
Authors
Yinghua Ai
Department of Mathematics
Tsinghua University
Beijing 100084
China
Thomas D Peters
Department of Mathematics
Columbia University
MC 4406
2990 Broadway
New York, NY 10027
United States
http://www.math.columbia.edu/~tpeters/