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.

Notes on file formats

Mei-Lin Yau
Department of Mathematics, Michigan State University
East Lansing, MI 48824, USA
Email: yau@math.msu.edu

GT home page

EMIS/ELibM Electronic Journals

Outdated Archival Version

These pages are not updated anymore. They reflect the state of 21 Apr 2006. For the current production of this journal, please refer to http://msp.warwick.ac.uk/.