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Other quantum relatives of the Alexander polynomial through the Links-Gould invariants by Kohli, Ben-Michael; Patureau-Mirand, Bertrand is a scholarly article available to read on EtoBox.

What is Other quantum relatives of the Alexander polynomial through the Links-Gould invariants about?

Oleg Viro studied in arXiv:math/0204290 two interpretations of the (multivariable) Alexander polynomial as a quantum link invariant: either by considering the quasi triangular Hopf algebra associated to $U_q sl(2)$ at fourth roots of unity, or by considering the super Hopf algebra $U_q gl(1|1)$. In this paper, we show these Hopf algebras share properties with the $-1$ specialization of $U_q gl(n|1)$ leading to the proof of a conjecture of David De Wit, Atsushi Ishii and Jon Links on the Links-Gould invariants.

Author

Kohli, Ben-Michael; Patureau-Mirand, Bertrand

Published

2016

Language

EN