Timeline for Detecting non-affine automorphisms of a translation surface
Current License: CC BY-SA 4.0
3 events
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| Sep 17 at 18:15 | comment | added | Alex Wright | I suspect there isn't a solution to this problem in the terms you were hoping for. But there are often solutions for generic surfaces in families, using monodromy of the family. The point is that if one can consistently define an automorphism over a family of surfaces, the eigenspaces of this automorphism define flat subbundles. Often knowledge of monodromy can be used to rule this out. This can often by applied to, ex, certain GL(2,R) orbit closures of translation surfaces. | |
| May 31, 2023 at 20:01 | answer | added | Sam Nead | timeline score: 1 | |
| May 31, 2023 at 16:41 | history | asked | Sam Freedman | CC BY-SA 4.0 |