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math.GT2017
The maximum number of systoles for genus two Riemann surfaces with abelian differentials
Chris Judge, Hugo Parlier
In this article, we provide bounds on systoles associated to a holomorphic -form on a Riemann surface . In particular, we show that if has genus two, then, up to homo…
math.CO2017★ 3 cited
Chromatic numbers for the hyperbolic plane and discrete analogs
Hugo Parlier, Camille Petit
We study colorings of the hyperbolic plane, analogously to the Hadwiger-Nelson problem for the Euclidean plane. The idea is to color points using the minimum number of colors such…