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Artículo
A geometric description of the extreme Khovanov cohomology
(Cambridge University Press, 2018-06)
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 having as many non-trivial extreme Khovanov ...
Tesis Doctoral
Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique.
(2018-09-03)
En la primera parte de esta tesis estudiamos la conjetura de genericidad: En el grafo de Cayley del mapping class group de una superficie cerrada, consideramos una bola de radio suficientemente grande centrada en el elemento ...
Artículo
On the centralizer of generic braids
(De Gruyter, 2018-11)
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 summit set of a generic braid has a very ...
Artículo
Polynomial braid combing
(Oxford University Press, 2018)
We prove that, for n ≥ 3, the minimal dimension of a model of the classifying space of the braid group Bn, and of the pure braid group Pn, with respect to the family of virtually cyclic groups is n.