Automorphisms of complexes of curves on odd genus nonorientable surfaces

Ferihe Atalan-Ozan

Automorphisms of complexes of curves on odd genus nonorientable surfaces

Geometric Topology 2007-05-23 v1

Authors: Ferihe Atalan-Ozan

Abstract

Let $N$ be a connected nonorientable surface of genus $g$ with $n$ punctures. Suppose that $g$ is odd and $g+n \geqslant 6$ . We prove that the automorphism group of the complex of curves of $N$ is isomorphic to the mapping class group $\mathcal M_{N}$ of $N$ .

Keywords

nonorientable surface curve complex automorphism group mapping class group odd genus

Cite

@article{arxiv.math/0512368,
  title  = {Automorphisms of complexes of curves on odd genus nonorientable surfaces},
  author = {Ferihe Atalan-Ozan},
  journal= {arXiv preprint arXiv:math/0512368},
  year   = {2007}
}

Comments

26 pages, 11 figures

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