## Effective distance between nested Margulis tubes

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- by David Futer, Jessica S. Purcell and Saul Schleimer PDF
- Trans. Amer. Math. Soc.
**372**(2019), 4211-4237

## Abstract:

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

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## Additional Information

**David Futer**- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- MR Author ID: 671567
- ORCID: 0000-0002-2595-6274
- Email: dfuter@temple.edu
**Jessica S. Purcell**- Affiliation: School of Mathematical Sciences, Monash University, Victoria 3800, Australia
- MR Author ID: 807518
- ORCID: 0000-0002-0618-2840
- Email: jessica.purcell@monash.edu
**Saul Schleimer**- Affiliation: Mathematics Institute, University of Warwick, Coventry CV4 7AL, United Kingdom
- MR Author ID: 689853
- Email: s.schleimer@warwick.ac.uk
- Received by editor(s): January 22, 2018
- Received by editor(s) in revised form: August 14, 2018
- Published electronically: May 30, 2019
- Additional Notes: The first author was supported in part by NSF grant DMS–1408682

The second author was supported in part by the Australian Research Council

All three authors acknowledge support from NSF grants DMS–1107452, 1107263, 1107367, “RNMS: Geometric Structures and Representation Varieties” (the GEAR Network), which funded an international trip to collaborate on this paper

This work is in the public domain. - Journal: Trans. Amer. Math. Soc.
**372**(2019), 4211-4237 - MSC (2010): Primary 57M50, 30F40
- DOI: https://doi.org/10.1090/tran/7678
- MathSciNet review: 4009389