Geometry & Topology, Vol. 8 (2004) Paper no. 34, pages 1243--1280.

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.

Keywords. Subcritical Stein-fillable contact manifold, cylindrical contact homology, holomorphic curves, contact handles, Reeb vector field

AMS subject classification. Primary: 57R17. Secondary: 57R65, 53D40, 58C10.

DOI: 10.2140/gt.2004.8.1243

E-print: arXiv:math.SG/0409542

Submitted to GT on 13 March 2004. (Revised 2 July 2004.) Paper accepted 21 September 2004. Paper published 24 September 2004.

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Mei-Lin Yau
Department of Mathematics, Michigan State University
East Lansing, MI 48824, USA

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