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arXiv · 2506.23392

Hitchin grafting representations I: Geometry

Pierre-Louis Blayac·Ursula Hamenstädt·Théo Marty
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Abstract

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 symmetric space $\mathrm{PSL}_d(\mathbb R)/\mathrm{PSO}(d)$.

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Pierre-Louis Blayac, Ursula Hamenstädt, Théo Marty. 2025-06-29. Hitchin grafting representations I: Geometry. https://arxiv.org/abs/2506.23392

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