Napoleon in isolation
| dc.creator | Calegari, Danny | |
| dc.date | 1999-09-18 | |
| dc.date | 2000-02-23 | |
| dc.date.accessioned | 2026-07-07T05:30:48Z | |
| dc.date.available | 2026-07-07T05:30:48Z | |
| dc.description | Napoleon's theorem in elementary geometry describes how certain linear operations on plane polygons of arbitrary shape always produce regular polygons. More generally, certain triangulations of a polygon that tiles R^2 admit deformations which keep fixed the symmetry group of the tiling. This gives rise to isolation phenomena in cusped hyperbolic 3-manifolds, where hyperbolic Dehn surgeries on some collection of cusps leaves the geometric structure at some other collection of cusps unchanged. | |
| dc.description | 10 pages, 5 figures; minor changes. Accepted for publication in PAMS | |
| dc.identifier | https://arxiv.org/abs/math/9909106 | |
| dc.identifier | http://arxiv.org/abs/math/9909106 | |
| dc.identifier | Proc. Amer. Math. Soc. 129 (2001), no. 10, 3109-3119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/79118 | |
| dc.subject | Geometric Topology | |
| dc.title | Napoleon in isolation | |
| dc.type | text |