Thirty-Third Annual Victorian Algebra Conference, Sydney, Australia, 2015

Register for: VAC33

Details of talk

TitleParameter Space of Hyperbolic Cone-Manifold Structures
PresenterAlex 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.