Polynomial invariants of links satisfying cubic skein relations
Quantum Algebra
2007-05-23 v2 Geometric Topology
Abstract
The aim of this paper is to define two link invariants satisfying cubic skein relations. In the hierarchy of polynomial invariants determined by explicit skein relations they are the next level of complexity after Jones, HOMFLY, Kauffman and Kuperberg's quantum invariants. Our method consists in the study of Markov traces on a suitable tower of quotients of cubic Hecke algebras extending Jones approach.
Cite
@article{arxiv.math/0009233,
title = {Polynomial invariants of links satisfying cubic skein relations},
author = {Paolo Bellingeri and Louis Funar},
journal= {arXiv preprint arXiv:math/0009233},
year = {2007}
}
Comments
revised version, 28p, Asian J. Math., to appear