English

Duality for Legendrian contact homology

Symplectic Geometry 2009-03-02 v4 Geometric Topology

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.

Keywords

Cite

@article{arxiv.math/0508187,
  title  = {Duality for Legendrian contact homology},
  author = {Joshua M Sabloff},
  journal= {arXiv preprint arXiv:math/0508187},
  year   = {2009}
}

Comments

This is the version published by Geometry & Topology on 8 December 2006

R2 v1 2026-07-22T17:22:58.065Z