Now showing items 1-20 of 36

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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)
      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 

      González-Meneses López, Juan; González Manchón, Pedro María; Silvero Casanova, Marithania (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 

      González-Meneses López, Juan (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) ...
    • Article
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      Bi-orderings on pure braided Thompson's groups 

      Burillo Puig, José; González-Meneses López, Juan (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.
    • Article
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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). ...
    • Article
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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)
      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 

      Birman, Joan S.; Gebhardt, Volker; González-Meneses 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 ...
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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)
      This paper is the second in a series in which the authors study the conjugacy decision problem (CDP) and the conjugacy ...
    • Article
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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 ...
    • Article
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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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      Generating random braids 

      Gebhardt, Volker; González-Meneses López, Juan (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 

      González-Meneses 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 ...
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      Geometric embeddings of braid groups do not merge conjugacy classes 

      González-Meneses López, Juan (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 ...
    • Final Degree Project
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      Homología de Khovanov 

      Rivera Bustos, Ana Alicia (2018-09)
      Knot theory is quite younger compare to other theories in mathematics. Even so, it is an important mathematic theory in ...
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      Improving an algorithm to solve multiple simultaneous conjugacy problems in braid groups 

      González-Meneses López, Juan (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 

      González-Meneses 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.
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      On reduction curves and Garside properties of braids 

      González-Meneses 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
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      On some families of links and new approaches to link homologies 

      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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      On the centralizer of generic braids 

      González-Meneses López, Juan; Valladares García, Dolores (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 

      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 ...