A note on strong geometric isolation in 3-orbifolds
Geometric Topology
2007-05-23 v1
Abstract
Neumann and Reid described in their paper "Rigidity of cusps in deformations of hyperbolic 3-orbifolds" (Math Ann. 295 (1993) no. 2, 223--237) a 2-cusped hyperbolic 3-orbifold in which the cusps are geometrically isolated. Based on numerical evidence provided by Jeff Weeks' snappea program, they conjectured that the cusps are strongly geometrically isolated, a fact which we establish here. We also give a parameterization of the Dehn surgery space of this orbifold which has amusing properties.
Cite
@article{arxiv.math/0011126,
title = {A note on strong geometric isolation in 3-orbifolds},
author = {Danny Calegari},
journal= {arXiv preprint arXiv:math/0011126},
year = {2007}
}
Comments
8 pages, 5 figures; format and figures slightly modified from published version