Open Access
2004 Cylindrical contact homology of subcritical Stein-fillable contact manifolds
Mei-Lin Yau
Geom. Topol. 8(3): 1243-1280 (2004). DOI: 10.2140/gt.2004.8.1243

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.

Citation

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Mei-Lin Yau. "Cylindrical contact homology of subcritical Stein-fillable contact manifolds." Geom. Topol. 8 (3) 1243 - 1280, 2004. https://doi.org/10.2140/gt.2004.8.1243

Information

Received: 13 March 2004; Revised: 2 July 2004; Accepted: 21 September 2004; Published: 2004
First available in Project Euclid: 21 December 2017

zbMATH: 1055.57036
MathSciNet: MR2087083
Digital Object Identifier: 10.2140/gt.2004.8.1243

Subjects:
Primary: 57R17
Secondary: 53D40 , 57R65 , 58C10

Keywords: contact handles , cylindrical contact homology , holomorphic curves , Reeb vector field , subcritical Stein-fillable contact manifold

Rights: Copyright © 2004 Mathematical Sciences Publishers

Vol.8 • No. 3 • 2004
MSP
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