Degenerations of ideal hyperbolic triangulations

Stephan Tillmann

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Degenerations of ideal hyperbolic triangulations

Stephan Tillmann

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Abstract

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.

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BibTeX RIS

Stephan Tillmann. 2005-08-16. Degenerations of ideal hyperbolic triangulations. https://arxiv.org/abs/math/0508295

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