## Algebraic & Geometric Topology

### Heegaard Floer homology of certain mapping tori

#### Abstract

We calculate the Heegaard Floer homologies $HF+(M,s)$ for mapping tori $M$ associated to certain surface diffeomorphisms, where $s$ is any $spinc$ structure on $M$ whose first Chern class is non-torsion. Let $γ$ and $δ$ be a pair of geometrically dual nonseparating curves on a genus $g$ Riemann surface $Σg$, and let $σ$ be a curve separating $Σg$ into components of genus $1$ and $g−1$. Write $tγ$, $tδ$, and $tσ$ for the right-handed Dehn twists about each of these curves. The examples we consider are the mapping tori of the diffeomorphisms $tγm∘tδn$ for $m,n∈ℤ$ and that of $tσ±1$.

#### Article information

Source
Algebr. Geom. Topol., Volume 4, Number 2 (2004), 685-719.

Dates
Accepted: 16 August 2004
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.agt/1513882528

Digital Object Identifier
doi:10.2140/agt.2004.4.685

Mathematical Reviews number (MathSciNet)
MR2100677

Zentralblatt MATH identifier
1052.57046

Subjects
Primary: 57R58: Floer homology
Secondary: 53D40: Floer homology and cohomology, symplectic aspects

#### Citation

Jabuka, Stanislav; Mark, Thomas E. Heegaard Floer homology of certain mapping tori. Algebr. Geom. Topol. 4 (2004), no. 2, 685--719. doi:10.2140/agt.2004.4.685. https://projecteuclid.org/euclid.agt/1513882528

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