5 papers
Classifying spaces for families of virtually abelian subgroups of surface braid groups
Ramón Flores, Juan González-Meneses, Porfirio L. León-Álvarez
Given a group and an integer , let denote the family of all virtually abelian subgroups of of rank at most . In this article, we show that for…
Conjugacy invariants and rigidity in Garside groups: a uniformity phenomenon
Matthieu Calvez, Owen Garnier, Juan González-Meneses +1
Consider an element~ of a Garside group which is rigid in the sense of Garside-theory. Let be the set of rigid conjugates of~ -- this is a well-known characteristic s…
Canonical Reduction Systems in Artin-Tits groups of spherical type
María Cumplido, Juan González-Meneses, Davide Perego
We introduce the canonical reduction system of an element in an Artin-Tits group of spherical type, which generalizes the similar notion for braids (and mapping classes) introduced…
Explicit formulae for the Aicardi-Juyumaya bracket of tied links
O'Bryan Cárdenas-Andaur, Juan González-Meneses, Marithania Silvero
The double bracket (also known as the AJ-bracket) is an invariant of framed tied links that extends the Kauffman bracket of classical links.…
Positive 3-braids, Khovanov homology and Garside theory
Álvaro Del Valle Vílchez, Juan González-Meneses, Marithania Silvero
Khovanov homology is a powerful invariant of oriented links that categorifies the Jones polynomial. Nevertheless, computing Khovanov homology of a given link remains challenging in…