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math.DG2025
Hitchin grafting representations I: Geometry
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty
We give a geometric interpretation of Fock--Goncharov positivity and show that bending deformations of Fuchsian representations stabilize a uniform Finsler quasi-convex disk in the…
math.DG2025
Hitchin grafting representations II: Dynamics
Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty +1
The Hitchin component of the character variety of representations of a surface group into for some can be equipped with a pressure…