Data

NameGonzález-Meneses López, Juan
DepartmentAlgebra
Knowledge areaÁlgebra
Professional categoryCatedrático de Universidad
E-mailRequest
           

  Statistics

  • Items

    36

  • Visits

    4767

  • Downloads

    5506

  Publications

 

Final Degree Project
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Teoría de grupos y el Skewb

González-Meneses López, Juan; Méndez García-Barroso, Carlos (2020-01-01)
En este trabajo repasaremos algunas definiciones y resultados básicos de la Teoría de Grupos y trataremos de utilizarlos ...
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The root extraction problem for generic braids

Cumplido Cabello, María; González-Meneses López, Juan; Silvero Casanova, Marithania (MDPI, 2019-10-01)
We show that, generically, finding the k-th root of a braid is very fast. More precisely, we provide an algorithm which, ...
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On the centralizer of generic braids

González-Meneses López, Juan; Valladares García, Dolores (De Gruyter, 2018-11-01)
We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of ...
PhD Thesis
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Sous-groupes paraboliques et généricité dans les groupes d'Artin-Tits de type sphérique.

González-Meneses López, Juan; Wiest, Bertold; Cumplido Cabello, María (2018-09-03)
En la primera parte de esta tesis estudiamos la conjetura de genericidad: En el grafo de Cayley del mapping class group ...
Final Degree Project
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Homología de Khovanov

González-Meneses López, Juan; Rivera Bustos, Ana Alicia (2018-09-01)
Knot theory is quite younger compare to other theories in mathematics. Even so, it is an important mathematic theory in ...
Final Degree Project
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El problema de la palabra en los grupos de trenzas

González-Meneses López, Juan; Flores Díaz, Ramón Jesús; Aguilar Martín, Javier (2018-06-18)
The word problem, the conjugacy problem and the isomorphism problem were three fundamental problems of group theory proposed ...
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A geometric description of the extreme Khovanov cohomology

González-Meneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (Cambridge University Press, 2018-06-01)
We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial ...
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Polynomial braid combing

Flores Díaz, Ramón Jesús; González-Meneses López, Juan (Oxford University Press, 2018-01-01)
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.
PhD Thesis
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On some families of links and new approaches to link homologies

González-Meneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (2016-03-01)
Esta tesis se enmarca dentro de la Teoría de Nudos. En los Capítulos 1 y 2 se usan herramientas clásicas para estudiar las ...
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Geometric approaches to braid groups and mapping class groups

González-Meneses López, Juan (Cellule Mathdoc, 2015-01-01)
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

González-Meneses López, Juan (Sociedad Matemática Mexicana, 2014-10-01)
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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Closures of positive braids and the Morton-Franks-Williams inequality

González-Meneses López, Juan; González Manchón, Pedro María (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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Twisted conjugacy in braid groups

González-Meneses López, Juan; Ventura Capell, Enric (Springer, 2014-01-01)
In this note we solve the twisted conjugacy problem for braid groups, i.e. we propose an algorithm which, given two braids ...
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Generating random braids

Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2013-01-01)
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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A geometric characterization of the upper bound for the span of the Jones polynomial

González-Meneses López, Juan; González Manchón, Pedro María (World Scientific, 2011-07-01)
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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On reduction curves and Garside properties of braids

González-Meneses López, Juan (American Mathematical Society, 2011-01-01)
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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Reducible braids and Garside theory

González-Meneses López, Juan; Wiest, Bert (Geometry & Topology Publications, 2011-01-01)
We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy ...
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Basic results on braid groups

González-Meneses López, Juan (Université Blaise Pascal, 2011-01-01)
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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Solving the conjugacy problem in Garside groups by cyclic sliding

Gebhardt, Volker; González-Meneses López, Juan (Elsevier, 2010-06-01)
We present a solution to the conjugacy decision problem and the conjugacy search problem in Garside groups, which is ...
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The cyclic sliding operation in Garside groups

Gebhardt, Volker; González-Meneses López, Juan (Springer, 2010-05-01)
We present a new operation to be performed on elements in a Garside group, called cyclic sliding, which is introduced to ...
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On the cycling operation in braid groups

González-Meneses López, Juan; Gebhardt, Volker (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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Bi-orderings on pure braided Thompson's groups

Burillo Puig, José; González-Meneses López, Juan (2008-03-01)
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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Conjugacy in Garside groups II: Structure of the ultra summit set

Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (European Mathematical Society, 2008-01-01)
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

Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (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 in Garside groups I: Cyclings, powers, and rigidity

Birman, Joan S.; Gebhardt, Volker; González-Meneses López, Juan (European Mathematical Society, 2007-01-01)
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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Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups

González-Meneses López, Juan (American Mathematical Society, 2005-01-01)
There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We ...
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Vassiliev invariants for braids on surfaces

González-Meneses López, Juan; Paris, Luis (American Mathematical Society, 2004-01-01)
We show that Vassiliev invariants separate braids on a closed oriented surface, and we exhibit an universal Vassiliev ...
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On the structure of the centralizer of a braid

González-Meneses López, Juan (Elsevier, 2004-01-01)
The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base ...
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On the singular braid monoid of an orientable surface

Díaz Cantos, Jerónimo; González-Meneses López, Juan; Tornero Sánchez, José María (American Mathematical Society, 2004-01-01)
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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The nth root of a braid is unique up to conjugacy

González-Meneses López, Juan (Mathematical Sciences Publishers, 2003-11-01)
We prove a conjecture due to Makanin: if α and β are elements of the Artin braid group Bn such that α k = β k for some nonzero integer k, then α and β are conjugate. The proof involves the Nielsen-Thurston classification of braids.
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Conjugacy problem for braid groups and Garside groups

Gonçalves Soares Franco, Nuno María; González-Meneses López, Juan (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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Computation of centralizers in braid groups and Garside groups

Gonçalves Soares Franco, Nuno María; González-Meneses López, Juan (Consejo Superior de Investigaciones Científicas, 2003-01-01)
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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Ordering pure braid groups on compact, connected surfaces

González-Meneses López, Juan (University of California, 2002-04-01)
We prove that the pure braid groups on compact, connected, orientable surfaces are bi-orderable, and that the pure braid groups on compact, connected non-orientable surfaces have generalized torsion, thus they are not bi-orderable.
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Presentations for the monoids of singular braids on closed surfaces

González-Meneses López, Juan (Taylor & Francis, 2002-01-01)
We give presentations, in terms of generators and relations, for the monoids SBn(M) of singular braids on closed surfaces. ...
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New presentations of surface braid groups

González-Meneses López, Juan (World Scientific Publishing, 2001-01-01)
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.
PhD Thesis
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Trenzas en superficies cerradas

Paris, Luis; González-Meneses López, Juan (2000-01-01)
En este trabajo se estudian las trenzas en superficies cerradas. En primer lugar, se dan nuevas presentaciones de los ...