Practical bounds for a Dehn parental test
Geometric Topology
2018-06-14 v4 Metric Geometry
Abstract
In their article "The shape of hyperbolic Dehn surgery space," Hodgson and Kerckhoff proved a powerful theorem, half of which they used to make Thurston's Dehn surgery theorem effective. The calculations derived here use both halves of Hodgson and Kerckhoff's theorem to give bounds leading towards a practical algorithm to tell, given two orientable hyperbolic 3-manifolds M, N of finite volume, whether or not M is a Dehn filling of N.
Keywords
Cite
@article{arxiv.1504.01674,
title = {Practical bounds for a Dehn parental test},
author = {Robert C. Haraway},
journal= {arXiv preprint arXiv:1504.01674},
year = {2018}
}
Comments
16 pages; this work formed half of the author's PhD thesis; final version using referees' suggested revisions and Coq calculations