The twisted Floer homology of torus bundles

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;) which evaluates nontrivially on the fiber, we compute the Heegaard Floer homology of Y with twisted coefficients in the universal Novikov ring.