Shrinkwrapping and the taming of hyperbolic 3-manifolds
classification
🧮 math.GT
math.DG
keywords
hyperbolicmanifoldscompletefindingfinitelyfundamentalgeneratedgeometrically
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We introduce a new technique for finding CAT(-1) surfaces in hyperbolic 3-manifolds. We use this to show that a complete hyperbolic 3-manifold with finitely generated fundamental group is geometrically and topologically tame.
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