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Mostrando ítems 1-10 de 12
Artículo
On the minimal positive standardizer of a parabolic subgroup of an Artin–Tits group
(Springer, 2018-09-22)
The minimal standardizer of a curve system on a punctured disk is the minimal positive braid that transforms it into a system formed only by round curves. We give an algorithm to compute it in a geometrical way. Then, we ...
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 ...
Capítulo de Libro
On Hasse–Schmidt Derivations: The Action of Substitution Maps
(Springer, 2018-09-19)
We study the action of substitution maps between power series rings as an additional algebraic structure on the groups of Hasse–Schmidt derivations. This structure appears as a counterpart of the module structure on classical ...
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
Linear nested Artin approximation theorem for algebraic power series
(Springer, 2018)
We give an elementary proof of the nested Artin approximation Theorem for linear equations with algebraic power series coefficients. Moreover, for any Noetherian local subring of the ring of formal power series, we clarify ...
Artículo
A positive proportion of elements of mapping class groups is pseudo-Anosov
(Wiley, 2018-03-28)
In the Cayley graph of the mapping class group of a closed surface, with respect to any generating set, we look at a ball of large radius centered on the identity vertex, and at the proportion among the vertices in this ...
Artículo
On loxodromic actions of Artin–Tits groups
(Elsevier, 2018-04-10)
Artin–Tits groups act on a certain delta-hyperbolic complex, called the “additional length complex”. For an element of the group, acting loxodromically on this complex is a property analogous to the property of being ...
Artículo
Explicit local multiplicative convolution of ℓ-adic sheaves
(European Mathematical Society, 2018)
We give explicit formulas for the local multiplicative convolution functors, which express the local monodromies of the convolution of two ℓ-adic sheaves on the torus Gm over the algebraic closure of a finite field in terms ...
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
Echelons of power series and Gabrielov’s counterexample to nested linear Artin Approximation
(London Mathematical Society, 2018)
Gabrielov’s famous example for the failure of analytic Artin approximation in the presence of nested subring conditions is shown to be due to a growth phenomenon in standard basis computations for echelons, a generalization ...