A topological model for the coloured Jones polynomials

• Cristina Ana-Maria Anghel ^[1]
  1. [1] University of Oxford

     University of Oxford

     Oxford District, Reino Unido

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 28, Nº. 3, 2022, 50 págs.
• Idioma: inglés
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• Resumen

  • In this paper we will present a homological model for Coloured Jones Polynomials. For each colour N ∈ N, we will describe the invariant JN (L, q) as a graded intersection pairing of certain homology classes in a covering of a configuration space on the punctured disc. This construction is based on the Lawrence representation and a result due to Kohno that relates quantum representations and homological representations of the braid groups.