Details of talk
|Title||Parameter Space of Hyperbolic Cone-Manifold Structures|
|Presenter||Alex Casella (The University of Sydney)|
|Author(s)||Mr Alex Casella|
Given a triangulated orientable $3$--dimensional pseudo--manifold, we show that the set of all (possibly incomplete) hyperbolic cone-manifold structures realised by positively oriented hyperbolic ideal tetrahedra and with prescribed cone angles at all edges is (if non-empty) a smooth complex manifold with explicit parametrisation. This is joint work with Stephan Tillmann and Feng Luo.