Duality for Legendrian contact homology

Sabloff, Joshua M¹

¹ Haverford College, Haverford, PA 19041, USA

Geometry & topology, Tome 10 (2006) no. 4, pp. 2351-2381.

Résumé

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.

Détail

DOI : 10.2140/gt.2006.10.2351

Keywords: contact homology, legendrian knot, duality

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