66 citations · 281 across the 25 of their papers we have counts for
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math.GR2004
On word reversing in braid groups
Patrick Dehornoy, Bert Wiest
It has been conjectured that in a braid group, or more generally in a Garside group, applying any sequence of monotone equivalences and word reversings can increase the length of a…
math.GT2004★ 61 cited
On the complexity of braids
Ivan Dynnikov, Bert Wiest
We define a measure of "complexity" of a braid which is natural with respect to both an algebraic and a geometric point of view. Algebraically, we modify the standard notion of the…