Duality for Legendrian contact homology
arXiv:math/0508187 · doi:10.2140/gt.2006.10.2351
Abstract
The main result of this paper is that, off of a `fundamental class' in degree 1, the linearized Legendrian contact homology obeys a version of Poincare duality between homology groups in degrees k and -k. Not only does the result itself simplify calculations, but its proof also establishes a framework for analyzing cohomology operations on the linearized Legendrian contact homology.
This is the version published by Geometry & Topology on 8 December 2006