Colored HOMFLY polynomials that distinguish mutant knots
Geometric Topology
2017-11-21 v3 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We illustrate from the viewpoint of braiding operations on WZNW conformal blocks how colored HOMFLY polynomials with multiplicity structure can detect mutations. As an example, we explicitly evaluate the (2,1)-colored HOMFLY polynomials that distinguish a famous mutant pair, Kinoshita-Terasaka and Conway knot.
Keywords
Cite
@article{arxiv.1504.00364,
title = {Colored HOMFLY polynomials that distinguish mutant knots},
author = {Satoshi Nawata and P. Ramadevi and Vivek Kumar Singh},
journal= {arXiv preprint arXiv:1504.00364},
year = {2017}
}
Comments
13 pages, 6 figures, 1 table; A mathematica file is attached as an ancillary file; v2, The title has been changed. The mutation on a 2-tangle is included in the end of section 2; v3 published version