Timeline for Confusion about Teichmüller curves and $\operatorname{SL}_2$-action
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
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| Feb 23, 2018 at 11:56 | comment | added | Angy | I agree. Sometimes Teichmuller curves are cited as examples of affine invariant submanifolds and I wasn't sure about the details of this phrase. | |
| Feb 23, 2018 at 11:47 | comment | added | Dmitri Panov | I am not sure how to interpret this phrase, is it written somewhere? On the other hand $\Omega M_g$ indeed has various strata preserved by the action. Also, you can embedd your Teichmuller curve in $\Omega M_g/\mathbb C^*$ (as a complex $1$-dim submanifold of course, the complex two-dimensional surface will then by a $\mathbb C^*$-bundle over it ) | |
| Feb 23, 2018 at 11:33 | comment | added | Angy | Thank you, this is helpful. So in fact when people speak about "Teichmuller curves inside a stratum" they refer to an object of complex dimension 2? | |
| Feb 23, 2018 at 1:58 | history | answered | Dmitri Panov | CC BY-SA 3.0 |