Volume 10, issue 2 (2010)

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The twisted Floer homology of torus bundles

Yinghua Ai and Thomas D Peters

Algebraic & Geometric Topology 10 (2010) 679–695
Abstract

We prove an exact sequence for $\omega$–twisted Heegaard Floer homology. As a corollary, given a torus bundle $Y$ over the circle and a cohomology class $\left[\omega \right]\in {H}^{2}\left(Y;ℤ\right)$ 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
Primary: 57M27
Secondary: 53D40
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/