The twisted Floer homology of torus bundles

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 $[ω] \in H^{2} (Y; ℤ)$ which evaluates nontrivially on the fiber, we compute the Heegaard Floer homology of $Y$ with twisted coefficients in the universal Novikov ring.

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Keywords

Floer homology, torus bundles

Mathematical Subject Classification 2000

Primary: 57M27

Secondary: 53D40

References

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/

Volume 10, issue 2 (2010)

Yinghua Ai and Thomas D Peters

Abstract