Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial
Geometric Topology
2019-02-11 v2
Abstract
We show that the zeroth coefficient of the cables of the HOMFLY polynomial (colored HOMFLY polynomials) does not distinguish mutants. This makes a sharp contrast with the total HOMFLY polynomial whose 3-cables can distinguish mutants.
Cite
@article{arxiv.1710.09969,
title = {Mutation invariance for the zeroth coefficients of the colored HOMFLY polynomial},
author = {Tetsuya Ito},
journal= {arXiv preprint arXiv:1710.09969},
year = {2019}
}
Comments
13 pages, 8 figures: error in the proof of main theorem corrected