Mapping Class Groups of Nonorientable Surfaces |
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Authors: | Mustafa Korkmaz |
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Institution: | (1) Department of Mathematics, Middle East Technical University, 06531 Ankara, Turkey |
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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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Keywords: | Mapping class groups Nonorientable surfaces Real-analytic diffeomorphism of the circle |
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