#### Volume 10, issue 4 (2006)

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Duality for Legendrian contact homology

### Joshua M Sabloff

Geometry & Topology 10 (2006) 2351–2381
 arXiv: math.SG/0508187
##### 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 Poincaré 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.

##### Keywords
contact homology, legendrian knot, duality
##### Mathematical Subject Classification 2000
Primary: 57R17
Secondary: 53D12, 53D40, 57M25