Geometry and Topology Seminar: Cusp regions associated to parabolic screw motions
8 June 2017 11:00 in CM221
We consider the geometry of hyperbolic 4-manifolds which have an end modelled on a parabolic screw motion whose rotation angle is an irrational multiple of pi. There is a very close relationship between the shape of the associated cusp region (where the manifold looks like a product) and the Diophantine properties of the rotation angle. This work is based on earlier results of Erlandsson and Zakeri and of Susskind.