Degenerations of ideal hyperbolic triangulations

Details Degenerations of ideal hyperbolic triangulations Degenerations of ideal hyperbolic triangulations

2005-08-16

arxiv.org/abs/math/0508295v4

Mathematics

Geometric Topology

31 pages, 11 figures; minor changes; to appear in Mathematische Zeitschrift

Scientific paper

Let M be a cusped 3-manifold, and let T be an ideal triangulation of M. The deformation variety D(T), a subset of which parameterises (incomplete) hyperbolic structures obtained on M using T, is defined and compactified by adding certain projective classes of transversely measured singular codimension-one foliations of M. This leads to a combinatorial and geometric variant of well-known constructions by Culler, Morgan and Shalen concerning the character variety of a 3-manifold.

Affiliated with

Also associated with

No associations

Rating

Degenerations of ideal hyperbolic triangulations does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Degenerations of ideal hyperbolic triangulations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degenerations of ideal hyperbolic triangulations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-131557