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math.GT2026
The orientation-reversing minimal stretch factor problem in small genus
Pierre Dehornoy, Erwan Lanneau, Livio Liechti +1
We determine the minimal stretch factors among all orientation-reversing pseudo-Anosov mapping classes of the closed orientable surfaces of genus two, three and four.
math.DS2026
Genus one Birkhoff sections for geodesic flows on orbifolds
Pierre Dehornoy
For a hyperbolic orientable 2-orbifold of genus with at most conic points, we prove that the geodesic flow on the unitary tangent bundle$\mathrm{T}^1\mathc…