GROUPS GEOMETRY AND DYNAMICS, vol.8, no.1, pp.39-68, 2014 (SCI-Expanded)
Article / Article
GROUPS GEOMETRY AND DYNAMICS
Science Citation Index Expanded (SCI-EXPANDED), Scopus
Mapping class group, complex of curves, nonorientable surface, MAPPING CLASS-GROUPS, SUPERINJECTIVE SIMPLICIAL MAPS, INJECTIVE HOMOMORPHISMS, SUBGROUPS
Middle East Technical University Affiliated:
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.