Geometry, Topology and Dynamics Seminar
Shawn Rafalski
UIC
Immersed turnovers in hyperbolic 3-orbifolds
Abstract: A hyperbolic turnover is a 2-orbifold isometric to the double of a hyperbolic triangle whose interior angles
are integer submultiples of pi. In this talk, I will show that if a hyperbolic 3-orbifold Q contains an
immersed (but non-embedded) hyperbolic turnover T, then Q contains a hyperbolic 3-suborbifold Q'
which contains T, with Vol(Q') < 6/5*Area(T). Furthermore, I will show that for a given turnover type, there
are only finitely many possibilities for such a "turnover core" Q'.
Monday March 5, 2007 at 3:00 PM in SEO 427