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Generalized Alexander Polynomial Invariants (1510.06573v1)
Published 22 Oct 2015 in math.GT, math-ph, math.MP, and quant-ph
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.
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