Timeline for Understanding the space of structures
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Jul 1, 2021 at 18:35 | comment | added | Neal | Goldman's notes on $(G,X)$-structures and representation varieties might be a good starting point if you want a general story about deformation spaces of geometric structures: math.umd.edu/~wmg/geost.pdf | |
| Jul 1, 2021 at 11:28 | vote | accept | Callum | ||
| Jun 30, 2021 at 14:32 | answer | added | Ben McKay | timeline score: 3 | |
| Jun 30, 2021 at 13:43 | comment | added | Callum | Ah of course, that makes sense. Thanks muchly. I'll definitely check out that paper though. | |
| Jun 30, 2021 at 13:39 | answer | added | Tsemo Aristide | timeline score: 1 | |
| Jun 30, 2021 at 12:41 | comment | added | Ben McKay | The set of Riemannian metrics is an open cone in the space of symmetric 2-tensors, so you can see that this is not going to work. | |
| Jun 30, 2021 at 12:40 | comment | added | Ben McKay | No, it is a different story for curves and again for higher dimensions. I have a paper about the moduli space of holomorphic Cartan geometries with certain models, proving the moduli space is affine (see Holomorphic geometric structures on Kähler–Einstein manifolds; the precise statement is complicated), but there is no general theorem making the space of Cartan geometries with a given model affine. | |
| Jun 30, 2021 at 12:20 | history | asked | Callum | CC BY-SA 4.0 |