Effective distance between nested Margulis tubes
David Futer, Jessica S. Purcell, Saul Schleimer
TL;DR
This paper establishes precise bounds on the distance between tori of fixed injectivity radius within Margulis tubes in hyperbolic 3-manifolds, enhancing understanding of their geometric structure.
Contribution
It provides sharp, effective bounds on the distance between nested Margulis tubes, a novel quantitative result in hyperbolic geometry.
Findings
Sharp bounds on distances between tori in Margulis tubes
Improved understanding of geometric structure of hyperbolic 3-manifolds
Quantitative tools for analyzing 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.
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