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Artículo
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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 ...
Artículo
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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 ...
Capítulo de Libro
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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 ...
Artículo
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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 ...
Artículo
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The regularity of a toric variety
(Elsevier, 2001-03-01)
We give a method for computing the degrees of the minimal syzygies of a toric variety by means of combinatorial techniques. Indeed, we complete the explicit description of the minimal free resolution of the associated ...
Artículo
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Almost-extreme Khovanov spectra
(Springer, 2021)
We introduce a functor from the cube to the Burnside 2-category and prove that it is equivalent to the Khovanov spectrum given by Lipshitz and Sarkar in the almost extreme quantum grading. We provide a decomposition of ...
Artículo
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A duality approach to the symmetry of Bernstein-Sato polynomials of free divisors
(Elsevier, 2015-08-20)
In this paper we prove that the Bernstein-Sato polynomial of any free divisor for which the D[s]-module D[s]h s admits a Spencer logarithmic resolution satisfies the symmetry property b(−s−2) = ±b(s). This applies in ...
Artículo
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Représentations lisses modulo ℓ de GLm(D)
(Duke University Press, 2014-03-15)
Soit F un corps localement compact non archimédien de caractéristique résiduelle p, soit D une algèbre à division centrale de dimension finie sur F et soit R un corps algébriquement clos de caractéristique différente de ...
Artículo
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An improved test set approach to nonlinear integer problems with applications to engineering design
(Springer, 2015-11)
Many problems in engineering design involve the use of nonlinearities and some integer variables. Methods based on test sets have been proposed to solve some particular problems with integer variables, but they have not ...
Artículo
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On the structure of the centralizer of a braid
(Elsevier, 2004)
The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base points. We prove that the centralizer of any braid can be expressed in terms of semidirect and ...