Generalized Alexander Polynomial Invariants
Geometric Topology
2015-10-23 v1 Mathematical Physics
math.MP
Quantum Physics
Abstract
We propose an algorithm which allows to derive the generalized Alexander polynomial invariants of knots and links with the help of the q,p-numbers, appearing in bosonic two-parameter quantum algebra. These polynomials turn into HOMFLY ones by applying special parametrization. The Jones polynomials can be also obtained by using this algorithm.
Cite
@article{arxiv.1510.06573,
title = {Generalized Alexander Polynomial Invariants},
author = {Anatoliy M. Pavlyuk},
journal= {arXiv preprint arXiv:1510.06573},
year = {2015}
}
Comments
8 pages; based on invited talks given at the 5th Petrov International Symposium on High Energy Physics, Cosmology and Gravity, Kyiv (Ukraine), April 29-June 15, 2012