ON THE COLORED HOMFLY-PT, MULTIVARIABLE AND KASHAEV LINK INVARIANTS-Reference-Cited by-同舟云学术

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

Published:2008-11 Issue:supp01 Volume:10 Page:993-1011
ISSN:0219-1997
Container-title:Communications in Contemporary Mathematics
language:en
Short-container-title:Commun. Contemp. Math.

Author:

GEER NATHAN¹,PATUREAU-MIRAND BERTRAND²

Affiliation:

1. School of Mathematics, Georgia Institute of Technology, Atlanta, GA 30332-0160, USA

2. LMAM, Université de Bretagne-Sud, BP 573, F-56017 Vannes, France

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219199708003125

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2. INVARIANTS OF COLORED LINKS

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