A family of pseudo-Anosov braids whose super summit sets grow exponentially

Sandrine Caruso (1)

1 IRMAR - Institut de Recherche Mathématique de Rennes

We prove that the size of the super summit set of a braid can grow exponentially with the canonical length of the braid, even for pseudo-Anosov braids.

Mots clés: braid; Garside theory; pseudo-Anosov; super summit set

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

Sandrine Caruso. A family of pseudo-Anosov braids whose super summit sets grow exponentially. Journal of Knot Theory and Its Ramifications, 2013, 22 (9), 11 p. ⟨10.1142/S0218216513500508⟩. ⟨hal-00793581⟩