Convexity of strata in diagonal pants graphs of surfaces

dc.contributor.author	Aramayona, J.
dc.contributor.author	Lecuire, C.
dc.contributor.author	Parlier, H.
dc.contributor.author	Shackleton, K. J.
dc.date.accessioned	2018-09-20T15:59:57Z
dc.date.available	2018-09-20T15:59:57Z
dc.date.issued	2013-01-01
dc.identifier.citation	Aramayona, J. Lecuire, C.; Parlier, H.; Shackleton, K. J. (2013). Convexity of strata in diagonal pants graphs of surfaces. Publicacions Matemàtiques 57 (1), 219-237
dc.identifier.issn	0214-1493
dc.identifier.uri	http://hdl.handle.net/10379/10270
dc.description.abstract	We prove a number of convexity results for strata of the diagonal pants graph of a surface, in analogy with the extrinsic geometric properties of strata in the Weil-Petersson completion. As a consequence, we exhibit convex flat subgraphs of every possible rank inside the diagonal pants graph.
dc.publisher	Universitat Autonoma de Barcelona
dc.relation.ispartof	Publicacions Matemàtiques
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subject	pants complex
dc.subject	forgetful map
dc.subject	weil-petersson metric
dc.subject	teichmuller space
dc.subject	complex
dc.subject	rank
dc.title	Convexity of strata in diagonal pants graphs of surfaces
dc.type	Article
dc.identifier.doi	10.5565/publmat_57113_08
dc.local.publishedsource	http://www.math.univ-toulouse.fr/~lecuire/convex.pdf
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