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Cylindrical contact homology of subcritical Stein-fillable contact manifolds

Mei-Lin Yau
Geometry & Topology 8 (2004) 1243–1280
DOI: 10.2140/gt.2004.8.1243

arXiv: math.SG/0409542
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.

Keywords
subcritical Stein-fillable contact manifold, cylindrical contact homology, holomorphic curves, contact handles, Reeb vector field
Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 57R65, 53D40, 58C10
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Publication
Received: 13 March 2004
Revised: 2 July 2004
Accepted: 21 September 2004
Published: 24 September 2004
Proposed: Yasha Eliashberg
Seconded: Leonid Polterovich, Ronald Fintushel
Authors
Mei-Lin Yau
Department of Mathematics
Michigan State University
East Lansing
Michigan 48824
USA