Legendrian knots and links classified by classical invariants
Symplectic Geometry
2007-12-18 v1 Geometric Topology
Abstract
It is shown that Legendrian (resp. transverse) cable links in the 3-sphere with its standard tight contact structure, i.e. links consisting of an unknot and a cable of that unknot, are classified by their oriented link type and the classical invariants (Thurston-Bennequin invariant and rotation number in the Legendrian case, self-linking number in the transverse case). The analogous result is proved for torus knots in the 1-jet space of the circle with its standard tight contact structure.
Cite
@article{arxiv.math/0503033,
title = {Legendrian knots and links classified by classical invariants},
author = {Fan Ding and Hansjörg Geiges},
journal= {arXiv preprint arXiv:math/0503033},
year = {2007}
}
Comments
22 pages