University of Birmingham > Talks@bham > Algebra Seminar > Mapping Class Groups and Complexes of Curves on Orientable/Nonorientable Surfaces

Mapping Class Groups and Complexes of Curves on Orientable/Nonorientable Surfaces

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If you have a question about this talk, please contact David Craven.

I will talk about the relation between the mapping class groups of surfaces and the automorphism groups and the superinjective simplicial maps of the complexes of curves on surfaces for both orientable and nonorientable surfaces. I will also talk about the proof that each superinjective simplicial map of the complex of curves of a compact, connected, nonorientable surface is induced by a homeomorphism of the surface if g+n is not 4, where g is the genus and n is the number of boundary components of the surface.

This talk is part of the Algebra Seminar series.

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