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On the geometry of graphs associated to ...
Aramayona, Javier...
On the geometry of graphs associated to infinite-type surfaces by Aramayona, Javier ( Author )
Australian National University
08-08-2023
Consider a connected orientable surface $S$ of infinite topological type, i.e. with infinitely-generated fundamental group. We describe the large-scale geometry of arbitrary connected subgraphs of the arc complex $A(S)$ and curve complex $C(S)$ of $S$, provided they are invariant under a sufficiently big subgroup of the mapping class group $Mod(S)$. We obtain a number of consequences; in particular we recover the main results of J. Bavard and Aramayona-Fossas-Parlier .
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1605.05600
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