On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants
Geometric Topology
2007-11-28 v1 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0711.4226,
title = {On the Colored HOMFLY-PT, Multivariable and Kashaev Link Invariants},
author = {Nathan Geer and Bertrand Patureau-Mirand},
journal= {arXiv preprint arXiv:0711.4226},
year = {2007}
}
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16 pages