Generalized Alexander Polynomial Invariants
arXiv:1510.06573
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.
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