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- W2028105890 abstract "Let S be a closed, connected, orientable surface of genus at least 3, C (S) be the complex of curves on S and Mod S ∗ be the extended mapping class group of S . We prove that a simplicial map, λ : C (S)→ C (S) , preserves nondisjointness (i.e. if α and β are two vertices in C (S) and i ( α , β )≠0, then i ( λ ( α ), λ ( β ))≠0) iff it is induced by a homeomorphism of S . As a corollary, we prove that if K is a finite index subgroup of Mod S ∗ and f : K→Mod S ∗ is an injective homomorphism, then f is induced by a homeomorphism of S and f has a unique extension to an automorphism of Mod S ∗ ." @default.
- W2028105890 created "2016-06-24" @default.
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- W2028105890 date "2004-05-01" @default.
- W2028105890 modified "2023-10-16" @default.
- W2028105890 title "Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups" @default.
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- W2028105890 doi "https://doi.org/10.1016/j.top.2003.03.002" @default.
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