We show that, in the character variety of surface group representations into the Lie groupPSL.2;R/PSL.2;R/, the compactification of the maximal component introduced by the second author is a closedball upon which the mapping class group acts. We study the dynamics of this action. Finally, we describethe boundary points geometrically as.A1A1;2/-valued mixed structures.
A closed ball compactification of a maximal component via cores of trees
Tamburelli A.
2024-01-01
Abstract
We show that, in the character variety of surface group representations into the Lie groupPSL.2;R/PSL.2;R/, the compactification of the maximal component introduced by the second author is a closedball upon which the mapping class group acts. We study the dynamics of this action. Finally, we describethe boundary points geometrically as.A1A1;2/-valued mixed structures.File in questo prodotto:
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