Automorphisms of curve complexes on nonorientable surfaces

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2014-01-01

Author

Atalan, Ferihe
Korkmaz, Mustafa

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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

Journal

GROUPS GEOMETRY AND DYNAMICS

DOI

https://doi.org/10.4171/ggd/216

Collections

Department of Mathematics, Article

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Citation Formats

F. Atalan and M. Korkmaz, “Automorphisms of curve complexes on nonorientable surfaces,” GROUPS GEOMETRY AND DYNAMICS, pp. 39–68, 2014, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/34915.