JournalsggdVol. 8, No. 1pp. 39–68

Automorphisms of curve complexes on nonorientable surfaces

  • Ferihe Atalan

    Atilim University, Ankara, Turkey
  • Mustafa Korkmaz

    Middle East Technical University, Ankara, Turkey
Automorphisms of curve complexes on nonorientable surfaces cover
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Abstract

For a compact connected nonorientable surface NN of genus gg with nn boundary components, we prove that the natural map from the mapping class group of NN to the automorphism group of the curve complex of NN is an isomorphism provided that g+n5g+n \geq 5. We also prove that two curve complexes are isomorphic if and only if the underlying surfaces are diffeomorphic.

Cite this article

Ferihe Atalan, Mustafa Korkmaz, Automorphisms of curve complexes on nonorientable surfaces. Groups Geom. Dyn. 8 (2014), no. 1, pp. 39–68

DOI 10.4171/GGD/216