Abstract
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.
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Korkmaz, M. Mapping Class Groups of Nonorientable Surfaces. Geometriae Dedicata 89, 107–131 (2002). https://doi.org/10.1023/A:1014289127999
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DOI: https://doi.org/10.1023/A:1014289127999