Identifying the Invariants for Classical Knots and Links from the Yokonuma–Hecke Algebras
Identifying the Invariants for Classical Knots and Links from the Yokonuma–Hecke Algebras
Abstract We announce the existence of a family of new 2-variable polynomial invariants for oriented classical links defined via a Markov trace on the Yokonuma–Hecke algebra of type A. Yokonuma–Hecke algebras are generalizations of Iwahori–Hecke algebras, and this family contains the HOMFLYPT polynomial, the famous 2-variable invariant for classical links …