Mathematics – Quantum Algebra
Scientific paper
2000-09-27
Mathematics
Quantum Algebra
revised version, 28p, Asian J. Math., to appear
Scientific paper
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 $G_2$ quantum invariants. Our method consists in the study of Markov traces on a suitable tower of quotients of cubic Hecke algebras extending Jones approach.
Bellingeri Paolo
Funar Louis
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