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arXiv:1708.01774 [math.GT]AbstractReferencesReviewsResources

Thick hyperbolic 3-manifolds with bounded rank

Ian Biringer, Juan Souto

Published 2017-08-05Version 1

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.

Comments: 170 pages, 17 figures
Categories: math.GT
Subjects: 57M50
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