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19 p, 202.1 KB Convexity of strata in diagonal pants graphs of surfaces / Aramayona, Javier ; Lecuire, Cyril ; Parlier, H. ; Shackleton, K. J.
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.
2013 - 10.5565/PUBLMAT_57113_08
Publicacions matemàtiques, Vol. 57, Núm. 1 (2013) , p. 219-237  

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