On invariants for Legendrian knots

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

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.
19 pages, 11 figures

Keywords

Symplectic Geometry, Geometric Topology

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/213627

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1436
 http://arxiv.org/abs/0806.1436

Collections

arXiv