Cylindrical contact homology of subcritical Stein-fillable contact manifolds

Yau, Mei-Lin

doi:10.2140/gt.2004.8.1243

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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

Volume 8, issue 3 (2004)