Convexity of strata in diagonal pants graphs of surfaces

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Title:	Convexity of strata in diagonal pants graphs of surfaces
Author:	Aramayona, Javier; Lecuire, Cyril; Parlier, H.; Shackleton, K. J.
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.
Subject(s):	-Pants complex -Forgetful map -Weil-Petersson metric
Rights:	open access Tots els drets reservats. https://rightsstatements.org/vocab/InC/1.0/
Document type:	Article
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Uri:	https://ddd.uab.cat/record/102797