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THE YOKONUMA–HECKE ALGEBRAS AND THE HOMFLYPT POLYNOMIAL

MARIA CHLOUVERAKI

Laboratoire de Mathématiques UVSQ, Bâtiment Fermat, 45 avenue des États-Unis, 78035 Versailles cedex, France

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and

SOFIA LAMBROPOULOU

Department of Mathematics, National Technical University of Athens, Zografou campus, GR-15780 Athens, Greece

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https://doi.org/10.1142/S0218216513500806Cited by:18 (Source: Crossref)

Abstract

We compare the invariants for classical knots and links defined using the Juyumaya trace on the Yokonuma–Hecke algebras with the HOMFLYPT polynomial. We show that these invariants do not coincide with the HOMFLYPT except in a few trivial cases.

Keywords:

AMSC: 57M27, 57M25, 20F36, 20C08

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