Knots and Contact Geometry
Geometric Topology
2007-05-23 v1
Abstract
We classify Legendrian torus knots and figure eight knots in the tight contact structure on the 3-sphere up to Legendrian isotopy. As a corollary to this we also obtain the classification of transversal torus knots and figure eight knots up to transversal isotopy.
Cite
@article{arxiv.math/0006112,
title = {Knots and Contact Geometry},
author = {John B. Etnyre and Ko Honda},
journal= {arXiv preprint arXiv:math/0006112},
year = {2007}
}