Listar Algebra por autor "González-Meneses López, Juan"
Mostrando ítems 1-20 de 32
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A geometric characterization of the upper bound for the span of the Jones polynomial
(World Scientific, 2011-07)Let D be a link diagram with n crossings, sA and sB its extreme states and |sAD| (resp. |sBD|) the number of simple closed ...
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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 ...
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Basic results on braid groups
(Université Blaise Pascal, 2011)These are Lecture Notes of a course given by the author at the French-Spanish School Tresses in Pau, held in Pau (France) ...
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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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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). ...
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Computation of centralizers in braid groups and Garside groups
(Consejo Superior de Investigaciones Científicas, 2003)We give a new method to compute the centralizer of an element in Artin braid groups and, more generally, in Garside groups. ...
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Conjugacy in Garside groups I: Cyclings, powers, and rigidity
(European Mathematical Society, 2007)In this paper a relation between iterated cyclings and iterated powers of elements in a Garside group is shown. This yields ...
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Conjugacy in Garside groups II: Structure of the ultra summit set
(European Mathematical Society, 2008)This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy ...
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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 ...
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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 ...
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Generating random braids
(Elsevier, 2013-01)We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. ...
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Geometric approaches to braid groups and mapping class groups
(Cellule Mathdoc, 2015)These are Lecture Notes of a course given by the author at the School Winter Braids, held at the Université de Pau et des ...
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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 ...
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Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups
(American Mathematical Society, 2005)There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We ...
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New presentations of surface braid groups
(World Scientific Publishing, 2001)In this paper we give new presentations of the braid groups and the pure braid groups of a closed surface. We also give an algorithm to solve the word problem in these groups, using the given presentations.
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On reduction curves and Garside properties of braids
(American Mathematical Society, 2011)In this paper we study the reduction curves of a braid, and how they can be used to decompose the braid into simpler ones ...
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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 ...
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On the cycling operation in braid groups
(Elsevier, 2008-09-06)The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order ...
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On the singular braid monoid of an orientable surface
(American Mathematical Society, 2004)In this paper we show that the singular braid monoid of an orientable surface can be embedded in a group. The proof is purely topological, making no use of the monoid presentation.
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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 ...