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Artículo
Twisted conjugacy in braid groups
(Springer, 2014)
In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids u, v ∈ Bn and an automorphism ϕ ∈ Aut(Bn), decides whether v = (ϕ(x))−1ux for some x ∈ Bn. As a ...
Artículo
Closures of positive braids and the Morton-Franks-Williams inequality
(Elsevier, 2014-09-01)
We study the Morton-Franks-Williams inequality for closures of simple braids (also known as positive permutation braids). This allows to prove, in a simple way, that the set of simple braids is a orthonormal basis for the ...
Artículo
Geometric embeddings of braid groups do not merge conjugacy classes
(Sociedad Matemática Mexicana, 2014-10)
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 Bm into the braid group on n strands Bn, called a geometric embedding. The main ...