Timeline for Complexification or 'real'ization of Mapping Class group.
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 7, 2012 at 15:43 | answer | added | Lee Mosher | timeline score: 3 | |
| Dec 7, 2012 at 4:29 | comment | added | Misha | Mapping class group is not isomorphic to a lattice in a Lie group, except for the mapping class groups of the torus with at most one puncture and the sphere with at most 4 punctures. Mapping class group does embed in the group of Hamiltonian symplectomorpisms of the Teichmuller space, but the latter is not a Lie group in the traditional sense. | |
| Dec 7, 2012 at 1:55 | answer | added | Ian Agol | timeline score: 5 | |
| Dec 7, 2012 at 1:44 | comment | added | Igor Rivin | What you are describing is certainly studied very extensively. Reading the canonical sources is wise (e.g. Thurston's works on surfaces). | |
| Dec 7, 2012 at 1:19 | history | asked | Anant Atyam | CC BY-SA 3.0 |