The Yokonuma-Hecke algebras and the HOMFLYPT polynomial
Abstract
We compare the invariant for classical knots and links defined using the Juyumaya trace on the Yokonuma-Hecke algebras with the HOMFLYPT polynomial. We show that the two invariants, as maps on the set L of oriented link types in S3, do not coincide except in a few trivial cases.
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