59 citations · 118 across the 24 of their papers we have counts for
26 papers
On the centralizer of generic braids
Juan Gonzalez-Meneses, Dolores Valladares
We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of generators can be computed very efficiently, as the ultra su…
Polynomial braid combing
Juan González-Meneses, Marithania Silvero
Braid combing is a procedure defined by Emil Artin to solve the word problem in braid groups for the first time. It is well-known to have exponential complexity. In this paper, we…
A geometric description of the extreme Khovanov cohomology
J. González-Meneses, P. M. G. Manchón, M. Silvero
We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial complex of its Lando graph. We also provide a family of knots…
Geometric embeddings of braid groups do not merge conjugacy classes
Juan Gonzalez-Meneses
An embedding of the m-times punctured disc into the n-times punctured disc, for n>m, yields an embedding of the braid group on m strands B_m into the braid group on n strands B_n,…
Generating random braids
Volker Gebhardt, Juan González-Meneses
We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. The complexity of this algorithm is polynomial in the…
Twisted conjugacy in braid groups
Juan González-Meneses, Enric Ventura
In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids and an automorphism , decide…