Thickness and relative hyperbolicity for graphs of multicurves

Russell, Jacob; Vokes, Kate

doi:10.1112/topo.12270

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Article (Scientific journals)

Thickness and relative hyperbolicity for graphs of multicurves

Russell, Jacob; Vokes, Kate

2022 • In Journal of Topology, 15 (4), p. 2317-2351

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https://hdl.handle.net/10993/53250

DOI
10.1112/topo.12270

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Keywords :

Mapping class groups; Non-positive curvature; Complexes of curves

Abstract :

[en] We prove that any graph of multicurves satisfying certain natural properties is either hyperbolic, relatively hyperbolic, or thick. Further, this geometric characterization is determined by the set of subsurfaces that intersect every vertex of the graph. This extends previously established results for the pants graph and the separating curve graph to a broad family of graphs associated to surfaces.

Disciplines :

Mathematics

Author, co-author :

Russell, Jacob; Rice University > Department of Mathematics

Vokes, Kate ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Mathematics (DMATH)

External co-authors :

yes

Language :

English

Title :

Thickness and relative hyperbolicity for graphs of multicurves

Publication date :

31 October 2022

Journal title :

Journal of Topology

ISSN :

1753-8424

Publisher :

Wiley, United Kingdom

Volume :

Issue :

Pages :

2317-2351

Peer reviewed :

Peer Reviewed verified by ORBi

Available on ORBilu :

since 19 December 2022

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