Catherine Pfaff – Stratifying the Set of Fully Irreducible Elements of Out(F_r)

Carte non disponible

Date(s) - 24/05/2013
11 h 00 min - 12 h 30 min

Catégories Pas de Catégories

By proving precisely which singularity index lists arise from the pair of invariant foliations for a pseudo-Anosov surface homeomorphism, Masur and Smillie determined a Teichmuller flow invariant stratification of the space of quadratic differentials. We give a first step to an $Out(F_r)$ analog of the Masur-Smillie theorem. Since the ideal Whitehead graphs defined by Handel and Mosher give a strictly finer invariant in the analogous $Out(F_r)$ setting of a fully irreducible outer automorphism, we determined which of the twenty-one connected, simplicial, five-vertex graphs are ideal Whitehead graphs of fully irreducible outer automorphisms in $Out(F_3)$.