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Pré-Publication, Document De Travail Année : 2017

Thick hyperbolic 3-manifolds with bounded rank

Ian Biringer
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Juan Souto

Résumé

We construct a geometric decomposition for the convex core of a thick hyperbolic 3-manifold M with bounded rank. Corollaries include upper bounds in terms of rank and injectivity radius on the Heegaard genus of M and on the radius of any embedded ball in the convex core of M.

Dates et versions

hal-01579178 , version 1 (30-08-2017)

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Citer

Ian Biringer, Juan Souto. Thick hyperbolic 3-manifolds with bounded rank. 2017. ⟨hal-01579178⟩
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