Open Access
2013 Convexity of strata in diagonal pants graphs of surfaces
J. Aramayona, C. Lecuire, H. Parlier, K. J. Shackleton
Publ. Mat. 57(1): 219-237 (2013).


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.


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J. Aramayona. C. Lecuire. H. Parlier. K. J. Shackleton. "Convexity of strata in diagonal pants graphs of surfaces." Publ. Mat. 57 (1) 219 - 237, 2013.


Published: 2013
First available in Project Euclid: 18 December 2012

zbMATH: 1288.57015
MathSciNet: MR3058933

Primary: 05C60 , 57M50

Keywords: forgetful map , Pants complex , Weil-Petersson metric

Rights: Copyright © 2013 Universitat Autònoma de Barcelona, Departament de Matemàtiques

Vol.57 • No. 1 • 2013
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