3 papers
math.GT2026
A De Rham Perspective on the Symplectic Geometry of Teichmüller Space
Antoine Ablondi
We present a new proof of Wolpert's Magic Formula, stating that any Fenchel--Nielsen coordinates on the Teichmüller space of a closed surface are Darboux coordinates for the Weil-…
math.DG2026
An Affine Invariant Minkowski Problem
Antoine Ablondi
In Euclidean space, the generalised Minkowski problem asks, for a given finite Radon measure on the unit sphere , to find a compact convex set with area meas…
math.DG2026
Affine Deformations of Divisible Convex Cones and Affine Spacetimes
Antoine Ablondi
Let be a subgroup of obtained by adding a translation part to a torsion-free discrete subgroup of $\mathrm{SL}(\mathbb{R}…