Other quantum relatives of the Alexander polynomial through the Links-Gould invariants - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Proceedings of the American Mathematical Society Année : 2017

Other quantum relatives of the Alexander polynomial through the Links-Gould invariants

Résumé

Oleg Viro studied in arXiv:math/0204290 two interpretations of the (multivariable) Alexander polynomial as a quantum link invariant: either by considering the quasitriangular 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.

Dates et versions

hal-01329298 , version 1 (09-06-2016)

Identifiants

Citer

Ben-Michael Kohli, Bertrand Patureau-Mirand. Other quantum relatives of the Alexander polynomial through the Links-Gould invariants. Proceedings of the American Mathematical Society, 2017, 145 (12), pp.5419-5433. ⟨10.1090/proc/13699⟩. ⟨hal-01329298⟩
153 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More