Effective distance between nested Margulis tubes

Abstract

We give sharp, effective bounds on the distance between tori of fixed injectivity radius inside a Margulis tube in a hyperbolic 3-manifold.

25 pages, 3 figures. v3 contains minor revisions. To appear in Transactions of the AMS

References in corpus (1)

• Effective bilipschitz bounds on drilling and filling

Cited by in corpus (5)

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• Covers of surfaces, Kleinian groups, and the curve complex