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math.GT2011★ 9 cited
Kissing numbers for surfaces
Hugo Parlier
The so-called {\it kissing number} for hyperbolic surfaces is the maximum number of homotopically distinct systoles a surface of given genus can have. These numbers, first stud…
math.GT2011
Convexity of strata in diagonal pants graphs of surfaces
Javier Aramayona, Cyril Lecuire, Hugo Parlier +1
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 compl…