Mathematics – Symplectic Geometry
Scientific paper
2005-08-10
Geom. Topol. 10 (2006) 2351-2381
Mathematics
Symplectic Geometry
This is the version published by Geometry & Topology on 8 December 2006
Scientific paper
10.2140/gt.2006.10.2351
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.
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