On invariants for Legendrian knots
Symplectic Geometry
2008-12-30 v2 Geometric Topology
Abstract
Suppose that L is a null--homologous Legendrian knot in a contact 3--manifold. We determine the connection between the sutured invariant of the complement of L and the Legendrian invariant defined by Lisca, Ozsvath, Stipsicz and Szabo. In particular, we derive a vanishing theorem for the Legendrian invariant in the presence of Giroux torsion in the complement of the knot, and reprove several known properties of the Legendrian invariant from this perspective.
Cite
@article{arxiv.0806.1436,
title = {On invariants for Legendrian knots},
author = {Andras I. Stipsicz and Vera Vertesi},
journal= {arXiv preprint arXiv:0806.1436},
year = {2008}
}
Comments
19 pages, 11 figures