The action of the mapping class group on maximal representations

2006/05/01 by Anna Wienhard, Wienhard, Anna
Mathematics · #32G15 #32M15 #Advanced Algebra and Geometry #Differential Geometry (math.DG) #FOS: Mathematics #Geometric and Algebraic Topology #Group Theory (math.GR) #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.math/0605038

openalex publication_date 2006/05/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that the mapping class group acts properly on the space of maximal representations of the fundamental group of a closed Riemann surface into G when G = Sp(2n,R), SU(n,n), SO*(2n) or Spin(2,n).

Related

• The action of the Mapping Class Group on the fundamental group of the complement of a finite subset of a Riemann surface of positive genus
• Maximal representations in lattices of the symplectic group
• Maximal Representations of Surface Groups: Symplectic Anosov Structures
• On a family of unitary representations of mapping class groups
• Fenchel-Nielsen Coordinates for Maximal Representations