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Mostrando ítems 11-15 de 15
Artículo
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 generators can be computed very efficiently, as the ultra summit set of a generic braid has a very ...
Artículo
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 curves that appear when smoothing D according to sA (resp. sB). We give a general formula for the ...
Artículo
Reducible braids and Garside theory
(Geometry & Topology Publications, 2011)
We show that reducible braids which are, in a Garside-theoretical sense, as simple as possible within their conjugacy class, are also as simple as possible in a geometric sense. More precisely, if a braid belongs to a ...
Artículo
Polynomial braid combing
(Oxford University Press, 2018)
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.
Artículo
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 in a precise way, which does not correspond exactly to the decomposition given by Thurston theory. ...