18 citations · 54 across the 16 of their papers we have counts for
13 papers · 1 filter
An Alexander type invariant for doodles
Bruno Cisneros, Marcelo Flores, Jesús Juyumaya +1
We construct an Alexander type invariant for oriented doodles from a deformation of the Tits representation of the twin group and from the Chebyshev polynomials of second kind. Sim…
Polynomial invariants for links and tied links
Jesús Juyumaya
Notes based on lessons given at {\sc Escuela " Fico González Acuña" de Nudos y 3-variedades}, Mérida Yucatán, México, 7--10 (2015) and {\sc Encuentro de nudos, trenzas y álgebras},…
Two parameters bt-algebra and invariants for links and tied links
Francesca Aicardi, Jesus Juyumaya
We introduce a two-parameters bt-algebra which, by specialization, becomes the one-parameter bt-algebra, introduced by the authors, as well as another one-parameter presentation of…
Tied links and invariants for singular links
Francesca Aicardi, Jesus Juyumaya
Tied links and the tied braid monoid were introduced recently by the authors and used to define new invariants for classical links. Here, we give a version purely algebraic-combina…
Kauffman type invariants for tied links
Francesca Aicardi, Jesus Juyumaya
We define two new invariants for tied links. One of them can be thought as an extension of the Kauffman polynomial and the other one as an extension of the Jones polynomial which i…
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…
Tied Links
Francesca Aicardi, Jesus Juyumaya
In this paper we introduce the tied links, i.e. ordinary links provided with some ties between strands. The motivation for introducing such objects originates from a diagrammatical…
Markov trace on the algebra of braids and ties
Francesca Aicardi, Jesus Juyumaya
We prove that the so-called t algebra of braids and ties supports a Markov trace. Further, by using this trace in the Jones' recipe, we define invariant polynomials for classical k…
On the framization of knot algebras
Jesus Juyumaya, Sofia Lambropoulou
This paper presents results on the framization of some knot algebras, defined by the authors. We explain the motivations of the concept of framization, coming from the Yokonuma--He…
The Yokonuma-Temperley-Lieb Algebra
Dimos Goundaroulis, Jesus Juyumaya, Aristides Kontogeorgis +1
In this paper we introduce the Yokonuma-Temperley-Lieb algebra as a quotient of the Yokonuma-Hecke algebra over a two-sided ideal generated by an expression analogous to the one of…
Modular framization of the BMW algebra
Jesus Juyumaya, Sofia Lambropoulou
In this work we introduce the concept of Modular Framization or simply Framization. We construct a framization of the Birman--Wenzl--Murakami algebra, also known as BMW a…
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…
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…