MAPPING CLASS GROUP DYNAMICS ON SURFACE GROUP REPRESENTATIONS

@article{Goldman2006MAPPINGCG,
  title={MAPPING CLASS GROUP DYNAMICS ON SURFACE GROUP REPRESENTATIONS},
  author={W. Goldman},
  journal={arXiv: Geometric Topology},
  year={2006}
}
  • W. Goldman
  • Published 2006
  • Mathematics
  • arXiv: Geometric Topology
Deformation spaces Hom(�,G)/G of representations of the fundamental groupof a surfacein a Lie group G ad- mit natural actions of the mapping class group Mod�, preserving a Poisson structure. When G is compact, the actions are ergodic. In contrast if G is noncompact semisimple, the associated deforma- tion space contains open subsets containing the Fricke-Teichmuller space upon which Modacts properly. Properness of the Mod�- action relates to (possibly singular) locally homogeneous geomet- ric… Expand
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