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math.GT2009
An adelic extension of the Jones polynomial
Jesus Juyumaya, Sofia Lambropoulou
In this paper we represent the classical braids in the Yokonuma--Hecke and the adelic Yokonuma--Hecke algebras. More precisely, we define the completion of the framed braid group a…
math.GT2009
An invariant for singular knots
Jesús Juyumaya, Sofia Lambropoulou
In this paper we introduce a Jones-type invariant for singular knots, using a Markov trace on the Yokonuma--Hecke algebras and the theory of singular braids. The…