The action of the mapping class group on maximal representations

Research paper by Anna Wienhard

Indexed on: 01 May '06Published on: 01 May '06Published in: Mathematics - Differential Geometry

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).

The action of the mapping class group on maximal representations

Abstract

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2-Coverings of classical groups

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The action of the mapping class group on maximal representations

Abstract

More like this:

An example of orthogonal triple flag variety of finite type

2-Coverings of classical groups

Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on C^n

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