Anosov deformations of Barbot representations

Samuel Bronstein; Colin Davalo

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arXiv · 2502.09107

Anosov deformations of Barbot representations

Samuel Bronstein·Colin Davalo

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Abstract

We construct for each conformal structure on a closed orientable surface of genus at least 2 a proper slice in the character variety of representations of the associated surface group into SL(3,R) that belongs to the Barbot component and show that the corresponding representations are Borel Anosov. We describe a fibered geometric structure in the space of full flags associated with these representations.

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Samuel Bronstein, Colin Davalo. 2025-02-13. Anosov deformations of Barbot representations. https://arxiv.org/abs/2502.09107

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