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 Garside length a braid 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. Groups, Geometry, and Dynamics, 2011, 5 (3), pp.673-681. ⟨10.4171/GGD/143⟩. ⟨hal-00372640v3⟩