Timeline for Stupid terminological question on mapping class groups
Current License: CC BY-SA 3.0
7 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 24, 2012 at 1:02 | comment | added | Andy Putman | @Igor Rivin : You are correct that the Torelli group is named after Torelli's theorem. | |
| Aug 23, 2012 at 22:52 | comment | added | Lee Mosher | What I hear folks say when referring to this map is the "action on homology", it being understood that the action preserves intersection product. | |
| Aug 23, 2012 at 21:44 | comment | added | Igor Rivin | @Andy: but as Misha says, Torelli homomorphism may be better (and @Misha's comment largely supports my theory...) | |
| Aug 23, 2012 at 21:18 | comment | added | Igor Rivin | @Andy: my belief is that the "Torelli group" is actually named after the "Torelli map", which comes from the "Torelli theorem", but I could be totally wrong. | |
| Aug 23, 2012 at 20:36 | comment | added | Misha | Igor, please, do not call this "Torelli map", maybe "Torelli homomorphism", since the actual Torelli map $M_g\to A_g$ induces the above homomorphism. | |
| Aug 23, 2012 at 20:26 | comment | added | Andy Putman | I've never seen it referred to like this. As evidence against it being reasonable, it would seem weird to name a map after its kernel. As evidence for it being reasonable, the associated map from the moduli space of curves to the moduli space of ppav's is injective by Torelli's theorem. However, in the end I think it's not a very good name. I always just call it the "classical symplectic representation" or the "homology representation". | |
| Aug 23, 2012 at 20:17 | history | asked | Igor Rivin | CC BY-SA 3.0 |