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Artículo
Basic results on braid groups
(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) in October 2009. It is basically an introduction to distinct approaches and techniques that can be ...
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
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. ...