## Geometry & Topology

### Cylindrical contact homology of subcritical Stein-fillable contact manifolds

Mei-Lin Yau

#### Abstract

We use contact handle decompositions and a stabilization process to compute the cylindrical contact homology of a subcritical Stein-fillable contact manifold with vanishing first Chern class, and show that it is completely determined by the homology of a subcritical Stein-filling of the contact manifold.

#### Article information

Source
Geom. Topol., Volume 8, Number 3 (2004), 1243-1280.

Dates
Revised: 2 July 2004
Accepted: 21 September 2004
First available in Project Euclid: 21 December 2017

https://projecteuclid.org/euclid.gt/1513883467

Digital Object Identifier
doi:10.2140/gt.2004.8.1243

Mathematical Reviews number (MathSciNet)
MR2087083

Zentralblatt MATH identifier
1055.57036

#### Citation

Yau, Mei-Lin. Cylindrical contact homology of subcritical Stein-fillable contact manifolds. Geom. Topol. 8 (2004), no. 3, 1243--1280. doi:10.2140/gt.2004.8.1243. https://projecteuclid.org/euclid.gt/1513883467

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