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math.GT2023
Estimating the dimension of Thurston spine
Olivier Mathieu
For g at least 2, the Thurston spine Pg is the subspace of Teichmueller space Tg , consisting of the marked surfaces for which the set of shortest curves, the systoles, cuts the su…
math.GT2023
Small Systle Sets and Coxeter Groups
Ingrid Irmer, Olivier Mathieu
The systoles of a hyperbolic surface Σ are the shortest closed geodesics. We say that the systoles fill the surface if the set Syst(Σ) of all systoles cuts Σ into polygons. We refi…