Automorphisms of complexes of curves on odd genus nonorientable surfaces

Details Automorphisms of complexes of curves on odd genus nonorientable surfaces Automorphisms of complexes of curves on odd genus nonorientable surfaces

2005-12-15

arxiv.org/abs/math/0512368v1

Mathematics

Geometric Topology

26 pages, 11 figures

Scientific paper

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 $N$.

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