Generalized Teichmüller space of noncompact 3-manifolds and Mostow rigidity.

speaker: Charalampos Charitos (University of Athens)

abstract: Consider a 3-dimensional manifold N obtained by gluing a finite number of ideal hyperbolic tetrahedra via isometries along their faces. By varying the isometry type of each tetrahedron but keeping fixed the gluing pattern we define a space T of complete hyperbolic metrics on N with cone singularities along the edges of the tetrahedra. We prove that T is homeomorphic to a Euclidean space and we compute its dimension. By means of examples, we examine if the elements of T are uniquely determined by the angles around the edges of N. In particular, in the present talk we will present explicitly the space T when N is the complement of the Whitehead link.

timetable:
Wed 25 May, 12:15 - 12:45, Aula Dini
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