On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants

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We study various specializations of the colored HOMFLY-PT polynomial. These specializations are used to show that the multivariable link invariants arising from a complex family of sl(m|n) super-modules previously defined by the authors contains both the multivariable Alexander polynomial and Kashaev's invariants. We conjecture these multivariable link invariants also specialize to the generalized multivariable Alexander invariants defined by Y. Akutsu, T. Deguchi, and T. Ohtsuki.
16 pages

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Geometric Topology, Quantum Algebra, 57M25; 57M27; 17B37

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http://salesiana.dossiersoluciones.com/handle/123456789/142940

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0711.4226
 http://arxiv.org/abs/0711.4226

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arXiv