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Browsing by Author "GonzálezMeneses López, Juan"
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Article
A geometric characterization of the upper bound for the span of the Jones polynomial
GonzálezMeneses López, Juan; González Manchón, Pedro María (World Scientific, 201107)Let D be a link diagram with n crossings, sA and sB its extreme states and sAD (resp. sBD) the number of simple closed ...

Article
A geometric description of the extreme Khovanov cohomology
GonzálezMeneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (Cambridge University Press, 201806)We prove that the hypothetical extreme Khovanov cohomology of a link is the cohomology of the independence simplicial ...

Article
Basic results on braid groups
GonzálezMeneses López, Juan (Université Blaise Pascal, 2011)These are Lecture Notes of a course given by the author at the FrenchSpanish School Tresses in Pau, held in Pau (France) ...

Article
Biorderings on pure braided Thompson's groups
Burillo Puig, José; GonzálezMeneses López, Juan (200803)In this paper it is proved that the pure braided Thompson’s group BF admits a biorder, analog to the biorder of the pure braid groups.

Article
Closures of positive braids and the MortonFranksWilliams inequality
GonzálezMeneses López, Juan; González Manchón, Pedro María (Elsevier, 20140901)We study the MortonFranksWilliams inequality for closures of simple braids (also known as positive permutation braids). ...

Article
Computation of centralizers in braid groups and Garside groups
Gonçalves Soares Franco, Nuno María; GonzálezMeneses López, Juan (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. ...

Article
Conjugacy in Garside groups I: Cyclings, powers, and rigidity
Birman, Joan S.; Gebhardt, Volker; GonzálezMeneses López, Juan (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 ...

Article
Conjugacy in Garside groups II: Structure of the ultra summit set
Birman, Joan S.; Gebhardt, Volker; GonzálezMeneses López, Juan (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 ...

Article
Conjugacy in Garside Groups III: Periodic braids
Birman, Joan S.; Gebhardt, Volker; GonzálezMeneses López, Juan (Elsevier, 20071015)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 ...

Article
Conjugacy problem for braid groups and Garside groups
Gonçalves Soares Franco, Nuno María; GonzálezMeneses López, Juan (Elsevier, 20030801)We present a new algorithm to solve the conjugacy problem in Artin braid groups, which is faster than the one presented ...

Article
Generating random braids
Gebhardt, Volker; GonzálezMeneses López, Juan (Elsevier, 201301)We present an algorithm to generate positive braids of a given length as words in Artin generators with a uniform probability. ...

Article
Geometric approaches to braid groups and mapping class groups
GonzálezMeneses López, Juan (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 ...

Article
Geometric embeddings of braid groups do not merge conjugacy classes
GonzálezMeneses López, Juan (Sociedad Matemática Mexicana, 201410)An embedding of the mtimes punctured disc into the ntimes punctured disc, for n > m, yields an embedding of the braid ...

Final Degree Project
Homología de Khovanov
Rivera Bustos, Ana Alicia (201809)Knot theory is quite younger compare to other theories in mathematics. Even so, it is an important mathematic theory in ...

Article
Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups
GonzálezMeneses López, Juan (American Mathematical Society, 2005)There are recent cryptographic protocols that are based on Multiple Simultaneous Conjugacy Problems in braid groups. We ...

Article
New presentations of surface braid groups
GonzálezMeneses López, Juan (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.

Article
On reduction curves and Garside properties of braids
GonzálezMeneses López, Juan (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 ...

PhD Thesis
On some families of links and new approaches to link homologies
Silvero Casanova, Marithania (20160301)Esta tesis se enmarca dentro de la Teoría de Nudos. En los Capítulos 1 y 2 se usan herramientas clásicas para estudiar las ...

Article
On the centralizer of generic braids
GonzálezMeneses López, Juan; Valladares García, Dolores (De Gruyter, 201811)We study the centralizer of a braid from the point of view of Garside theory, showing that generically a minimal set of ...

Article
On the cycling operation in braid groups
GonzálezMeneses López, Juan; Gebhardt, Volker (Elsevier, 20080906)The cycling operation is a special kind of conjugation that can be applied to elements in Artin’s braid groups, in order ...