Joan Porti
Twisted cohomology for hyperbolic three manifolds.
Thu, 01/14/2010 - 16:01 — SomNambulAuthors: Joan Porti, Pere Menal-Ferrer
Subjects: Geometric Topology
AbstractFor a complete hyperbolic three manifold M, we consider the representations
of its fundamental group obtained by composing a lift of the holonomy with
complex finite dimensional representations of SL(2,C). We prove a vanishing
result for the cohomology of M with coefficients twisted by these
representations, using techniques of Matsushima-Murakami. We give some
applications to local rigidity.Infinitesimal projective rigidity under Dehn filling.
Fri, 08/21/2009 - 19:51 — SomNambulAuthors: Michael Heusener, Joan Porti
Subjects: Geometric Topology
AbstractTo a hyperbolic manifold one can associate a canonical projective structure
and ask whether it can be deformed or not. In a cusped manifold, one can ask
about the existence of deformations that are trivial on the boundary. We prove
that if the canonical projective structure of a cusped manifold is
infinitesimally projectively rigid relative to the boundary, then infinitely
many Dehn fillings are projectively rigid.
User login
