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math.GT2023
Failure of the well-rounded retract for Outer space and Teichmüller space
Maxime Fortier Bourque
The well-rounded retract for is defined as the set of flat tori of unit volume and dimension whose systoles generate a finite-index subgroup in homo…
math.GT2023★ 1 cited
Linear programming bounds for hyperbolic surfaces
Maxime Fortier Bourque, Bram Petri
We adapt linear programming methods from sphere packings to closed hyperbolic surfaces and obtain new upper bounds on their systole, their kissing number, the first positive eigenv…