2022•Journal of Knot Theory and Its RamificationsRequires access

Kauffman bracket versus Jones polynomial skein modules

Shamon Almeida, Răzvan Gelca

Abstract

This paper resolves the problem of comparing the skein modules defined using the skein relations discovered by Melvin and Kirby that underlie the quantum group-based Reshetikhin–Turaev model for [Formula: see text] Chern–Simons theory to the Kauffman bracket skein modules. Several applications and examples are presented.

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Available abstract

Key concepts: Skein, Bracket polynomial, Mathematics, Skein relation, Jones polynomial, HOMFLY polynomial, Pure mathematics, Knot polynomial