Beatrice Pozzetti

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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

Positive surface group representations in PO(p,q)

Jonas Beyrer, Beatrice Pozzetti

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

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

Degenerations of k-positive surface group representations

Jonas Beyrer, Beatrice Pozzetti

We introduce \emph{k-positive representations}, a large class of ${1, \dots, k}$ --Anosov surface group representations into PGL(E) that share many features with Hitchin representa…

math.GT2024

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…

Finsler metrics on 1/n-translation structures on surfaces

Positive surface group representations in PO(p,q)

Geometry of hyperconvex representations of surface groups

Degenerations of k-positive surface group representations

Topological and geometric restrictions on hyperconvex representations

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