#### 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