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Notes on the peripheral volume of hyperbolic 3-manifolds
Notes the peripheral volume hyperbolic 3-manifolds Geometric Topology
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2012/6/27
We consider hyperbolic 3-manifolds with either non-empty compact geodesic boundary, or some toric cusps, or both. For any such M we analyze what portion of the volume of M can be recovered by insertin...
Separating Curve Complex of the Genus Two Surface is Hyperbolic
Curve Complex the Genus Two Surface Hyperbolic Geometric Topology
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2011/9/8
Abstract: A proof that the separating curve complex of the closed genus two surface has a quasi-distance formula and is delta hyperbolic using tools of Masur and Schleimer. This answers in the affirma...
On `A characterization of R-Fuchsian groups acting on the complex hyperbolic plane'
R-Fuchsian groups complex hyperbolic plane Geometric Topology
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2011/8/31
Abstract: We indicate a C-Fuchsian counter-example to the result with the above title announced at this http URL and prove a stronger statement.
Pseudo-Developing Maps for Ideal Triangulations I: Essential Edges and Generalised Hyperbolic Gluing Equations
3-manifold ideal triangulation parameter space Thurston's gluing equations
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2011/8/25
Abstract: Let N be a topologically finite, orientable 3-manifold with ideal triangulation. We show that if there is a solution to the hyperbolic gluing equations, then all edges in the triangulation a...