Cylindrical contact homology of subcritical Stein-fillable contact manifolds

Details Cylindrical contact homology of subcritical Stein-fillable contact manifolds Cylindrical contact homology of subcritical Stein-fillable contact manifolds

2004-09-28

arxiv.org/abs/math/0409542v2

Geom. Topol. 8(2004) 1243-1280

Mathematics

Symplectic Geometry

Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol8/paper34.abs.html Version 2: correction to ack

Scientific paper

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.

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