Multivariable knot polynomials from Nichols algebras
Moduli and Friends seminar
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Monday 6 November 2023

Rinat Kashaev (Université de Genève)Multivariable knot polynomials from Nichols algebras

By using a specific general formula, one can associate an R-matrix over the underlying vector space of an arbitrary braided Hopf algebra H endowed with an automorphism. In the case of Nichols algebras, it leads to multivariable knot polynomials generalising those related to Borel parts of small quantum groups. This is a work in progress in collaboration with Stavros Garoufalidis.

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