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.
Citation
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.
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