Automorphisms of curve complexes on nonorientable surfaces
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Date
2014
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
European Mathematical Soc
Abstract
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.
Description
Atalan, Ferihe/0000-0001-6547-0570
Keywords
Mapping class group, complex of curves, nonorientable surface
Turkish CoHE Thesis Center URL
Citation
9
WoS Q
Q3
Scopus Q
Q3
Source
Volume
8
Issue
1
Start Page
39
End Page
68