18 citations · 33 across the 12 of their papers we have counts for
18 papers
Framization and Deframization
Francesca Aicardi, Jesús Juyumaya, Paolo Papi
Starting from the geometric construction of the framed braid group, we define and study the framization of several Brauer-type monoids and also the set partition monoid, all of whi…
Ramified inverse and planar monoids
Francesca Aicardi, Diego Arcis, Jesús Juyumaya
Ramified monoids are a class of monoids introduced by the authors. The main motivation for considering these monoids comes from knot theory, see [3, 4, 5]. Thus, in [2] we have stu…
Brauer and Jones tied monoids
Francesca Aicardi, Diego Arcis, Jesús Juyumaya
We introduce a ramified monoid, attached to each Brauer--type monoid, that is, to the symmetric group, to the Jones and Brauer monoids among others. Ramified monoids correspond to…
Catalan triangles and tied arc diagrams
Francesca Aicardi
The Catalan triangle, as well as a Fuss-Catalan triangle, enter a problem of counting particular tied arc diagrams. This setting allows us to prove some combinatorial properties of…
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…