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Bi-orderings on pure braided Thompson's groups
(2008-03)
In this paper it is proved that the pure braided Thompson’s group BF admits a bi-order, analog to the bi-order of the pure braid groups.
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Sumando la derivada de la serie geométrica
(Asociación Matemática Venezolana, 2003)
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A generalisation of the Phase Kick-Back
(Springer, 2023-03-13)
In this paper, we present a generalisation of the Phase Kick-Back technique, which is central to some of the classical algorithms in quantum computing. We will begin by recalling the Phase Kick-Back technique to then ...
Article
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Continuous division of linear differential operators and faithful flatness of D∞X over DX
(Société Mathématique de France, 2004)
In these notes we prove the faithful flatness of the sheaf of infinite order linear differential operators over the sheaf of finite order linear differential operators on a complex analytic manifold. We give the ...
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Resolutions of De Concini-Procesi ideals of hooks
(Taylor & Francis, 2007)
We find a minimal generating set for the defining ideal of the schematic intersection of the set of diagonal matrices with the closure of the conjugacy class of a nilpotent matrix indexed by a hook partition. The structure ...
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Homotopy theory of bicomplexes
(Elsevier, 2019-05)
We define two model structures on the category of bicomplexes concentrated in the right half plane. The first model structure has weak equivalences detected by the totalisation functor. The second model structure’s weak ...
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Conjugacy problem for braid groups and Garside groups
(Elsevier, 2003-08-01)
We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented by Birman, Ko and Lee. This algorithm can be applied not only to braid groups, but to all Garside ...
PhD Thesis
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Sistemas holónomos regulares y haces perversos cuyo soporte singular es el germen de una curva plana irreducible
(1984)
En esta memoria, damos una descripción explícita de los sistemas holónomos regulares y de los haces perversos (cf. I.3.10 y I.4.2), cuyo soporte singular es el germen de una curva plana irreducible. Se trata de la ...
Chapter of Book
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Algorithmic Invariants for Alexander Modules
(2006)
Let $G$ be a group given by generators and relations. It is possible to compute a presentation matrix of a module over a ring through Fox's differential calculus. We show how to use Gröbner bases as an algorithmic tool ...
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Conjugacy in Garside Groups III: Periodic braids
(Elsevier, 2007-10-15)
An element in Artin’s braid group Bn is said to be periodic if some power of it lies in the center of Bn. In this paper we prove that all previously known algorithms for solving the conjugacy search problem in Bn are ...