Mapping class groups of nonorientable surfaces

Date

2002-02-01

Author

Korkmaz, Mustafa

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We obtain a finite set of generators for the mapping class group of a nonorientable surface with punctures. We then compute the first homology group of the mapping class group and certain subgroups of it. As an application we prove that the image of a homomorphism from the mapping class group of a nonorientable surface of genus at least nine to the group of real-analytic diffeomorphisms of the circle is either trivial or of order two.

Subject Keywords

Mapping class groups, Nonorientable surfaces, Real-analytic diffeomorphism of the circle

URI

https://hdl.handle.net/11511/55463

Journal

GEOMETRIAE DEDICATA

Collections

Department of Mathematics, Article

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Citation Formats

M. Korkmaz, “Mapping class groups of nonorientable surfaces,” GEOMETRIAE DEDICATA, pp. 109–133, 2002, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/55463.