• Artículo
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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 the structure of the centralizer of a braid 

      González-Meneses López, Juan (Elsevier, 2004)
      The mixed braid groups are the subgroups of Artin braid groups whose elements preserve a given partition of the base ...
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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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      Vassiliev invariants for braids on surfaces 

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