Ergodicity of the mapping class group action on Deroin-Tholozan representations (Q2694793)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Ergodicity of the mapping class group action on Deroin-Tholozan representations |
scientific article; zbMATH DE number 7672031
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodicity of the mapping class group action on Deroin-Tholozan representations |
scientific article; zbMATH DE number 7672031 |
Statements
Ergodicity of the mapping class group action on Deroin-Tholozan representations (English)
0 references
4 April 2023
0 references
Summary: This note investigates the dynamics of the mapping class group action on compact connected components of relative character varieties of surface group representations into \(\mathrm{PSL}(2, \mathbb{R})\), discovered by Deroin and Tholozan. We apply symplectic methods developed by Goldman and Xia to prove that the action is ergodic.
0 references
planar surface groups
0 references
character variety
0 references
mapping class group
0 references
symplectic structure
0 references
ergodicity
0 references
Deroin-Tholozan representations
0 references
total ellipticity
0 references
0 references
0 references
0 references
0 references
0 references
0.94266057
0 references
0.9423926
0 references
0.9363669
0 references
0.93319273
0 references
0.9149291
0 references
0.9134073
0 references
0.91225207
0 references
0.9064585
0 references
