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

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

2007-11-27

arxiv.org/abs/0711.4226v1

Mathematics

Geometric Topology

16 pages

Scientific paper

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.

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