Hitchin grafting representations I: Geometry
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
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| _version_ | 1866916820747812864 |
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| author | Blayac, Pierre-Louis Hamenstädt, Ursula Marty, Théo |
| author_facet | Blayac, Pierre-Louis Hamenstädt, Ursula Marty, Théo |
| contents | 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 $\mathrm{PSL}_d(\mathbb R)/\mathrm{PSO}(d)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_23392 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hitchin grafting representations I: Geometry Blayac, Pierre-Louis Hamenstädt, Ursula Marty, Théo Differential Geometry Geometric Topology 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 $\mathrm{PSL}_d(\mathbb R)/\mathrm{PSO}(d)$. |
| title | Hitchin grafting representations I: Geometry |
| topic | Differential Geometry Geometric Topology |
| url | https://arxiv.org/abs/2506.23392 |