Mutation and the colored Jones polynomial
Geometric Topology
2008-09-24 v3 Quantum Algebra
Abstract
We show examples of knots with the same polynomial invariants and hyperbolic volumes, with variously coinciding 2-cable polynomials and colored Jones polynomials, which are not mutants.
Keywords
Cite
@article{arxiv.math/0607794,
title = {Mutation and the colored Jones polynomial},
author = {Alexander Stoimenow and Toshifumi Tanaka},
journal= {arXiv preprint arXiv:math/0607794},
year = {2008}
}
Comments
19 pages, 10 figures, 2 tables, with an appendix by Daniel Matei; rev 26 Feb 07: theorem 1.2 and references put in; rev 24 Sep 08: some minor reorganization and few corrections, mainly in proof of Theorem 4.2