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math.GT2019
Braid group action on projective quantum modules
Konstantinos Karvounis
We define a family of the braid group representations via the action of the -matrix (of the quasitriangular extension) of the restricted quantum on a tensor p…
math.GT2015
On the link invariants from the Yokonuma-Hecke algebras
Sergei Chmutov, Slavik Jablan, Konstantinos Karvounis +1
In this paper we study properties of the Markov trace and the specialized trace on the Yokonuma-Hecke algebras, such as behaviour under inversion of a…
math.GT2015
Identifying the invariants for classical knots and links from the Yokonuma-Hecke algebras
Maria Chlouveraki, Jesus Juyumaya, Konstantinos Karvounis +1
In this paper we announce the existence of a family of new -variable polynomial invariants for oriented classical links defined via a Markov trace on the Yokonuma-Hecke algebra…