# A closed ball compactification of a maximal component via cores of trees

@inproceedings{Martone2021ACB, title={A closed ball compactification of a maximal component via cores of trees}, author={Giuseppe Martone and Charles Ouyang and Andrea Tamburelli}, year={2021} }

We show that, in the character variety of surface group representations into the Lie group PSL(2,R) × PSL(2,R), the compactification of the maximal component introduced by the second author is a closed ball upon which the mapping class group acts. We study the dynamics of this action. Finally, we describe the boundary points geometrically as (A1 × A1, 2)-valued mixed structures.

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