Geometry, Topology and Dynamics Seminar
Hyunshik Shin
UIC
Pseudo-Anosov mapping classes not arising from Penner's construction
Abstract: We show that Galois conjugates of stretch factors of pseudo-Anosov
mapping classes arising from Penner’s construction lie off the unit circle.
As a consequence, we show that for all but a few exceptional surfaces, there are
examples of pseudo-Anosov mapping classes so that no power of them arises
from Penner’s construction. This resolves a conjecture of Penner.
This is a joint work with Balazs Strenner.
Monday February 23, 2015 at 3:00 PM in SEO 636