The twisted Floer homology of torus bundles

Abstract

Given a torus bundle $Y$ over the circle and a cohomology class $[\omega ]\in H^2(Y;\mathbb{Z})$ which evaluates nontrivially on the fiber, we compute the Heegaard Floer homology of $Y$ with twisted coefficients in the universal Novikov ring.

12 pages, 1 figure

References in corpus (7)

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• Knot Floer homology detects fibred knots
• Relativity tests by complementary rotating Michelson-Morley experiments
• Corrigendum to "Knot Floer homology detects fibred knots"
• Heegaard Floer homology and genus one, one boundary component open books
• Product Formulae for Ozsvath-Szabo 4-manifold Invariants
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Cited by in corpus (8)

• Floer Simple Manifolds and L-Space Intervals
• A tour of bordered Floer theory
• Non-separating spheres and twisted Heegaard Floer homology
• Duality and mapping tori in Heegaard Floer homology
• Manifolds with small Heegaard Floer ranks
• Khovanov homology detects split links
• Two applications of twisted Floer homology
• Floer homology, twist coefficients, and capping off