English

The Kauffman bracket skein module of a twist knot exterior

Quantum Algebra 2014-10-01 v2 Geometric Topology

Abstract

We compute the Kauffman bracket skein module of the complement of a twist knot, finding that it is free and infinite dimensional. The basis consists of cables of a two-component link, one component of which is a meridian of the knot. The cabling of the meridian can be arbitrarily large while the cabling of the other component is limited to the number of twists.

Keywords

Cite

@article{arxiv.math/0402102,
  title  = {The Kauffman bracket skein module of a twist knot exterior},
  author = {Doug Bullock and Walter Lo Faro},
  journal= {arXiv preprint arXiv:math/0402102},
  year   = {2014}
}

Comments

Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol5/agt-5-6.abs.html