L. Liechti - Minimal dilatations on nonorientable surfaces

Livio Liechti (1) , Fanny Bastien (2)

1 SU - Sorbonne Université
2 IF - Institut Fourier

We discuss the problem of finding the minimal dilatation among pseudo-Anosov mapping classes on a fixed closed surface. In particular, for every nonorientable closed surface of even genus, we consider a simple candidate which conjecturally minimises the dilatation among pseudo-Anosov mapping classes with an orientable invariant foliation. This is joint work with Balázs Strenner.

Mots clés: Teichmüller dynamics mapping class groups and applications; Minimal; dilatations; nonorientable surfaces

Mots clés: eem2018; Grenoble

Domaines: Mathématiques [math]

Livio Liechti, Fanny Bastien. L. Liechti - Minimal dilatations on nonorientable surfaces: Summer School 2018 - Teichmüller dynamics, mapping class groups and applications. 2018. ⟨medihal-01836547⟩