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Convexity of strata in diagonal pants graphs of surfaces

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.

preprint2011arXivOpen access
Javier AramayonaCyril LecuireHugo ParlierKenneth J. Shackleton
math.GT
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Open access4 authors1 topic
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Javier AramayonaCyril LecuireHugo ParlierKenneth J. Shackleton

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