Timeline for survey paper on the construction of hyperbolic manifolds
Current License: CC BY-SA 4.0
6 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jan 5, 2020 at 18:21 | comment | added | Ian Agol | For recent constructions of finite volume hyperbolic manifolds with various properties, see: arxiv.org/abs/1008.2646 arxiv.org/abs/1507.02747 arxiv.org/abs/1703.10561 arxiv.org/abs/1812.06536 arxiv.org/abs/1904.12720 | |
| Jan 5, 2020 at 18:19 | comment | added | Ian Agol | See Dave Witte-Morris' book for arithmetic groups, and section 6.5 for the non-arithmetic Gromov-Piatetskii-Shapiro examples. deductivepress.ca These and variants (together with Selberg's Lemma) are essentially the only known general method for proving the existence of finite volume hyperbolic $n$-manifolds (variants are given here arxiv.org/abs/1802.04619). In 3 dimensions, in some sense the geometrization theorem gives a construction of all finite volume hyperbolic 3-manifolds. The Deligne-Mostow construction gives some examples as moduli spaces of polygons. | |
| Jan 5, 2020 at 13:15 | comment | added | Misha | Section 3.1 here. | |
| Jan 5, 2020 at 8:30 | answer | added | M. Dus | timeline score: 5 | |
| Jan 5, 2020 at 7:35 | review | First posts | |||
| Jan 5, 2020 at 12:25 | |||||
| Jan 5, 2020 at 7:33 | history | asked | student | CC BY-SA 4.0 |