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- W2950761579 abstract "Let $N$ be a compact, connected, nonorientable surface of genus $g$ with $n$ boundary components. Let $lambda$ be a simplicial map of the complex of curves, $mathcal{C}(N)$, on $N$ which satisfies the following: $[a]$ and $[b]$ are connected by an edge in $mathcal{C}(N)$ if and only if $lambda([a])$ and $lambda([b])$ are connected by an edge in $mathcal{C}(N)$ for every pair of vertices $[a], [b]$ in $mathcal{C}(N)$. We prove that $lambda$ is induced by a homeomorphism of $N$ if $(g, n) in {(1, 0), (1, 1), (2, 0)$, $(2, 1), (3, 0)}$ or $g + n geq 5$. Our result implies that superinjective simplicial maps and automorphisms of $mathcal{C}(N)$ are induced by homeomorphisms of $N$." @default.
- W2950761579 created "2019-06-27" @default.
- W2950761579 creator A5010498884 @default.
- W2950761579 date "2011-12-07" @default.
- W2950761579 modified "2023-09-27" @default.
- W2950761579 title "Simplicial Maps of the Complexes of Curves on Nonorientable Surfaces" @default.
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