Beatrice Pozzetti

activity

20202026

most citedPositive surface group representations in PO(p,q)

7 citations · 18 across the 12 of their papers we have counts for

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5 papers · 1 filter

math.GT2026

Finsler metrics on $1/ n$ -translation structures on surfaces

Beatrice Pozzetti, Jiajun Shi

We define compatible Finsler distances on $1/ n$ -translation surfaces, we study their geodesics, and construct a Liouville current for each such metric, that is a geodesic current t…

math.GT2024

Geometry of hyperconvex representations of surface groups

James Farre, Beatrice Pozzetti, Gabriele Viaggi

We study the geometry of hyperconvex representations of surface groups in $PSL (d, C)$ and their deformation spaces: We produce a natural holomorphic extension of the…

math.GT2024★ 1 cited

Topological and geometric restrictions on hyperconvex representations

James Farre, Beatrice Pozzetti, Gabriele Viaggi

We study the geometry of hyperconvex representations of hyperbolic groups in $PSL (d, C)$ and establish two structural results: a group admitting a hyperconvex represe…

math.GT2021★ 7 cited

Positive surface group representations in PO(p,q)

Jonas Beyrer, Beatrice Pozzetti

We show that $Θ$ -positive Anosov representations $ρ : Γ \to PO (p, q)$ of a surface group $Γ$ satisfy root versus weight collar lemmas for all the Anosov roots, and are positively…

math.GT2021★ 1 cited

Degenerations of k-positive surface group representations