A note on strong geometric isolation in 3-orbifolds

Details A note on strong geometric isolation in 3-orbifolds A note on strong geometric isolation in 3-orbifolds

2000-11-17

arxiv.org/abs/math/0011126v1

Bull. Austral. Math. Soc. 53 (1996) no. 2, 271--280

Mathematics

Geometric Topology

8 pages, 5 figures; format and figures slightly modified from published version

Scientific paper

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.

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