Minimal pseudo-Anosov dilatations in the extended mapping class group

Vortrag von Dr. Livio Liechti

Datum: 03.10.18  Zeit: 15.45 - 16.45  Raum: ETH HG G 43

For any orientable closed surface of genus larger than one, it is an open problem to determine the minimal dilatation among pseudo-Anosov mapping classes in the extended mapping class group. We discuss this problem, with a particular emphasis on the comparison of orientation-preserving and orientation-reversing mapping classes. In particular, for every surface of odd genus, we consider a simple candidate which conjecturally minimises the dilatation among orientation-reversing pseudo-Anosov mapping classes with orientable invariant foliations. This is joint work with Balázs Strenner.