Algebraic & Geometric Topology

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 $[ω]∈H2(Y;ℤ)$ which evaluates nontrivially on the fiber, we compute the Heegaard Floer homology of $Y$ with twisted coefficients in the universal Novikov ring.

Article information

Source
Algebr. Geom. Topol., Volume 10, Number 2 (2010), 679-695.

Dates
Revised: 28 October 2009
Accepted: 26 November 2009
First available in Project Euclid: 19 December 2017

https://projecteuclid.org/euclid.agt/1513715111

Digital Object Identifier
doi:10.2140/agt.2010.10.679

Mathematical Reviews number (MathSciNet)
MR2606797

Zentralblatt MATH identifier
1209.57006

Subjects
Primary: 57M27: Invariants of knots and 3-manifolds
Secondary: 53D40: Floer homology and cohomology, symplectic aspects

Keywords
Floer homology torus bundles

Citation

Ai, Yinghua; Peters, Thomas D. The twisted Floer homology of torus bundles. Algebr. Geom. Topol. 10 (2010), no. 2, 679--695. doi:10.2140/agt.2010.10.679. https://projecteuclid.org/euclid.agt/1513715111

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