Timeline for Topological characterisation for a (closed irreducible) hyperbolic 3-manifold
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jun 17, 2013 at 12:30 | vote | accept | shestipalov | ||
| Jun 17, 2013 at 11:34 | answer | added | Bruno Martelli | timeline score: 15 | |
| Jun 17, 2013 at 9:28 | comment | added | HJRW | (Slight correction: the result for knots follows from the geometrization theorem for Haken 3-manifolds, which was proved by Thurston. Of course, you need Perelman to deal with non-Haken 3-manifolds.) | |
| Jun 17, 2013 at 9:14 | comment | added | HJRW | The criterion for knots you refer to is Perelman's geometrization theorem, and this applies to all 3-manifolds. There are many surveys. A pre-Perelman classic is Scott's article The geometries of 3-manifolds (Bulletin of the LMS). Thurston's book 'The geometry and topology of 3-manifolds' is also accessible to an early stage postgraduate. Post-Perelman works are rarer, but you could try arXiv:1205.0202v3 (apologies for the shameless self-advertisement). Everyone else will have their favourites. | |
| Jun 17, 2013 at 8:55 | history | asked | shestipalov | CC BY-SA 3.0 |