An Adelic Extension of the Jones Polynomial

  title={An Adelic Extension of the Jones Polynomial},
  author={Sofia Lambropoulou},
In this paper we represent the classical braids in the classical and the adelic Yokonuma–Hecke algebras. More precisely, we define the completion of the framed braid group and we introduce the adelic Yokonuma–Hecke algebras, in analogy to the notions of p-adic framed braids and p-adic Yokonuma–Hecke algebras introduced in [3, 4]. We further construct an adelic Markov trace, analogous to a p-adic Markov trace constructed in [4]. Using the traces in [2] and the adelic Markov trace we define… CONTINUE READING