Automorphisms of curve complexes on nonorientable surfaces

Date

2014-01-01

Author

Atalan, Ferihe
Korkmaz, Mustafa

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

For a compact connected nonorientable surface N of genus g with n boundary components, we prove that the natural map from the mapping class group of N to the automorphism group of the curve complex of N is an isomorphism provided that g + n >= 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.

Subject Keywords

Mapping class group, Complex of curves, Nonorientable surface

URI

https://hdl.handle.net/11511/34915

Collections

Department of Mathematics, Article