The Action of the Mapping Class Group on Maximal Representations

@inproceedings{Wienhard2006TheAO,
  title={The Action of the Mapping Class Group on Maximal Representations},
  author={A. Wienhard},
  year={2006}
}
Let Γg be the fundamental group of a closed oriented Riemann surface Σg, g ≥ 2, and let G be a simple Lie group of Hermitian type. The Toledo invariant defines the subset of maximal representations Repmax(Γg , G) in the representation variety Rep(Γg , G). Repmax(Γg, G) is a union of connected components with similar properties as Teichmüller space T (Σg) = Repmax(Γg , PSL(2, R)). We prove that the mapping class group ModΣg acts properly on Repmax(Γg , G) when G = Sp(2n, R), SU(n, n), SO∗(4n… CONTINUE READING