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• W1655996509 abstract "In this paper, we prove that each injective simplicial map of the arc complex of a compact, connected, orientable surface with nonempty boundary is induced by a homeomorphism of the surface. We deduce, from this result, that the group of automorphisms of the arc complex is naturally isomorphic to the extended mapping class group of the surface, provided the surface is not a disc, an annulus, a pair of pants, or a torus with one hole. We also show, for each of these special exceptions, that the group of automorphisms of the arc complex is naturally isomorphic to the quotient of the extended mapping class group of the surface by its center." @default.
• W1655996509 created "2016-06-24" @default.
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• W1655996509 date "2010-01-01" @default.
• W1655996509 modified "2023-09-23" @default.
• W1655996509 title "Injective simplicial maps of the arc complex" @default.
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• W1655996509 doi "https://doi.org/10.3906/mat-0812-16" @default.
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