Knot contact homology detects cabled, composite, and torus knots
Geometric Topology
2015-09-08 v1 Symplectic Geometry
Abstract
Knot contact homology is an invariant of knots derived from Legendrian contact homology which has numerous connections to the knot group. We use basic properties of knot groups to prove that knot contact homology detects every torus knot. Further, if the knot contact homology of a knot is isomorphic to that of a cable (respectively composite) knot, then the knot is a cable (respectively composite).
Keywords
Cite
@article{arxiv.1509.01642,
title = {Knot contact homology detects cabled, composite, and torus knots},
author = {Cameron Gordon and Tye Lidman},
journal= {arXiv preprint arXiv:1509.01642},
year = {2015}
}
Comments
3 pages