How to read the length of a braid from its curve diagram

Bert Wiest (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We prove that the length a braid, in the sense of Garside, is equal to a winding-number type invariant of the curve diagram of the braid.

Mots clés: braid group; Garside group; curve diagram

Domaines: Topologie géométrique [math.GT]; Théorie des groupes [math.GR]

Bert Wiest. How to read the length of a braid from its curve diagram. 2009. ⟨hal-00372640v2⟩