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Quantum Simulation Entanglement Theory Quantum Correlations Open Quantum Systems Decoherence

Generalized Alexander Polynomial Invariants

arXiv
Authors: Anatoliy M. Pavlyuk

Year

2015

Paper ID

26555

Status

Preprint

Abstract Read

~2 min

Abstract Words

51

Citations

N/A

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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  • 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...

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