Geometry, Topology and Dynamics Seminar
John Holt
Massey University
Torus cusps in hyperbolic 3-manifolds
Abstract: Abstract: Suppose that M is a compact 3-manifold with boundary that is not a
handlebody nor a compression body with inner boundary a collection of tori, and
that M contains a torus boundary component T. We show that for any complete
hyperbolic manifold homotopy equivalent to M the geometry of the torus cusp
associated to T is uniformly bounded. The result is then applied to give
results concerning the topology of the space of marked hyperbolic 3-manifolds
homotopy equivalent to M.
Monday March 20, 2006 at 3:00 PM in SEO 512