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ON THE COLORED HOMFLY-PT, MULTIVARIABLE AND KASHAEV LINK INVARIANTS

NATHAN GEER, BERTRAND PATUREAU-MIRAND

Source record

Source: Crossref

Published: Nov 1, 2008

DOI: 10.1142/s0219199708003125

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Source 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 contain 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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ON THE COLORED HOMFLY-PT, MULTIVARIABLE AND KASHAEV LINK INVARIANTS — Mathematical Frontier Network