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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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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.