Regenerating hyperbolic cone 3-manifolds from dimension 2
نویسندگان
چکیده
منابع مشابه
Deformations of Hyperbolic 3-cone-manifolds
We show that any compact orientable hyperbolic 3-cone-manifold with cone angles at most π can be continuously deformed to a complete hyperbolic manifold homeomorphic to the complement of the singularity. This together with the local rigidity by Hodgson and Kerckhoff implies the global rigidity for compact orientable hyperbolic 3-cone-manifolds under the same angle assumption.
متن کاملDeformations of Hyperbolic Cone Manifolds
We show that any compact orientable hyperbolic cone manifold with cone angles at most can be continuously deformed to a complete hyperbolic manifold homeomorphic to the complement of the singularity This together with the local rigidity by Hodgson and Kerckho implies the global rigidity for compact orientable hyperbolic cone manifolds under the same angle assumption
متن کاملInvariants from Triangulations of Hyperbolic 3-manifolds
For any finite volume hyperbolic 3-manifold M we use ideal triangulation to define an invariant β(M) in the Bloch group B(C ). It actually lies in the subgroup of B(C ) determined by the invariant trace field of M . The Chern-Simons invariant of M is determined modulo rationals by β(M). This implies rationality and — assuming the Ramakrishnan conjecture — irrationality results for Chern Simons ...
متن کاملRigidity of geometrically finite hyperbolic cone-manifolds
In a recent paper Hodgson and Kerckhoff [HK] prove a local rigidity theorem for finite volume, 3 dimensional hyperbolic cone-manifolds. In this paper we extend this result to geometrically finite cone-manifolds. Our methods also give a new proof of a local version of the classical rigidity theorem for geometrically finite hyperbolic 3-manifolds.
متن کاملThe deformation theory of hyperbolic cone-3-manifolds with cone-angles less than 2π
This is the first in a series of two papers in which we develop the deformation theory of hyperbolic cone-3-manifolds with cone-angles less than 2π, i.e. contained in the interval (0, 2π). In the present paper we focus on deformations keeping the topological type of the conemanifold fixed.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2013
ISSN: 0373-0956,1777-5310
DOI: 10.5802/aif.2820