Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil
Geometric Topology
2014-11-11 v3 Symplectic Geometry
Abstract
We present a topological interpretation of knot and braid contact homology in degree zero, in terms of cords and skein relations. This interpretation allows us to extend the knot invariant to embedded graphs and higher-dimensional knots. We calculate the knot invariant for two-bridge knots and relate it to double branched covers for general knots. In the appendix we show that the cord ring is determined by the fundamental group and peripheral structure of a knot and give applications.
Keywords
Cite
@article{arxiv.math/0303343,
title = {Knot and braid invariants from contact homology II, with an appendix written jointly with Siddhartha Gadgil},
author = {Lenhard Ng},
journal= {arXiv preprint arXiv:math/0303343},
year = {2014}
}
Comments
Published by Geometry and Topology at http://www.maths.warwick.ac.uk/gt/GTVol9/paper36.abs.html