Convexity of strata in diagonal pants graphs of surfaces

Aramayona, J.; Lecuire, C.; Parlier, H.; Shackleton, K. J.

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Date

2013-01-01

Author

Aramayona, J.

Lecuire, C.

Parlier, H.

Shackleton, K. J.

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

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http://www.math.univ-toulouse.fr/~lecuire/convex.pdf

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.

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http://hdl.handle.net/10379/10270

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Externally hosted open access publications with University of Galway authors (2)

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