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The Erwin Schroedinger Institute for Mathematical Physics

Mapping Class Group Dynamics and Simplicial Complexes on Surfaces of Innite Type

Our project concerns Teichmüller spaces of surfaces of infinite topological type, that is, surfaces whose fundamental group is not finitely generated. The surface may have infinite genus, or an infinite number of boundary components or of cusps, or both.

There are two parts of the research project:

  • The study of the geometric properties of simplicial complexes associated to surfaces of infinite type and mapping class group action on these complexes. The complexes include the curve complex, the pants decomposition complex and the ideal triangulation complex.
  • The dynamics of the action of the mapping class group on surfaces of infinite topological type and the relatiion with the Thompson groups.

At a glance

Type: Research in Teams
When: Jan 06, 2014 to
Feb 02, 2014
Organizers: Louis Funar (U Grenoble), Athanase Papadopoulos (U of Strasbourg, and CNRS)
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