Convexity of strata in diagonal pants graphs of surfaces

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dc.contributor.author	Aramayona, Javier
dc.contributor.author	Lecuire, Cyril
dc.contributor.author	Parlier, H.
dc.contributor.author	Shackleton, K. J.
dc.date	2013
dc.identifier	https://ddd.uab.cat/record/102797
dc.identifier	urn:10.5565/PUBLMAT_57113_08
dc.identifier	urn:oai:ddd.uab.cat:102797
dc.identifier	urn:articleid:20144350v57n1p219
dc.identifier	urn:oai:raco.cat:article/260775
dc.identifier	urn:scopus_id:84872513821
dc.identifier	urn:wos_id:000315175400008
dc.format	application/pdf
dc.language	eng
dc.publisher
dc.relation	Publicacions matemàtiques ; Vol. 57, Núm. 1 (2013), p. 219-237
dc.rights	open access
dc.rights	Tots els drets reservats.
dc.rights	https://rightsstatements.org/vocab/InC/1.0/
dc.subject	Pants complex
dc.subject	Forgetful map
dc.subject	Weil-Petersson metric
dc.title	Convexity of strata in diagonal pants graphs of surfaces
dc.type	Article
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.