Thickness and relative hyperbolicity for graphs of multicurves

Reference : Thickness and relative hyperbolicity for graphs of multicurves


	Document type :	Scientific journals : Article
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/53250

Title :	Thickness and relative hyperbolicity for graphs of multicurves
Language :	English
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) >]
Publication date :	31-Oct-2022
Journal title :	Journal of Topology
Publisher :	Wiley
Volume :	15
Issue/season :	4
Pages :	2317-2351
Peer reviewed :	Yes
Audience :	International
ISSN :	1753-8416
e-ISSN :	1753-8424
Country :	United Kingdom
Keywords :	[en] 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.
Permalink :	http://hdl.handle.net/10993/53250

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