James Farre

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math.GT2026

Boundary of Anosov coaffine representations

Marit Bobb, James Farre

Let $Γ \leq SL (d + 1, R)$ be a torsion-free hyperbolic group dividing a properly and strictly convex domain $Ω \subset R P^{d}$ , and let $ρ: Γ\to \mathrm{SL…

math.GT2024

Invariant multi-functions and Hamiltonian flows for surface group representations

Fernando Camacho-Cadena, James Farre, Anna Wienhard

Goldman defined a symplectic form on the smooth locus of the $G$ -character variety of a closed, oriented surface $S$ for a Lie group $G$ satisfying very general hypotheses. He then…

math.GT2024

Affine laminations and coaffine representations

Marit Bobb, James Farre

We study surface subgroups of $SL (4, R)$ acting convex cocompactly on $R P^{3}$ with image in the coaffine group. The boundary of the convex core is s…