Dominating surface-group representations via Fock-Goncharov coordinates

Positive matrices and their generalizations; cones of matrices (15B48) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) 2-dimensional topology (including mapping class groups of surfaces, Teichmüller theory, curve complexes, etc.) (57K20)

Cites Work

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Compactifications of representation spaces of finitely generated groups
Parameterizing Hitchin components
Cross ratios and identities for higher Teichmüller-Thurston theory
Moduli spaces of convex projective structures on surfaces
Degeneration of Hitchin representations along internal sequences
Lie groups and Teichmüller space
Hitchin characters and geodesic laminations
Combinatorics and total positivity
The real spectrum compactification of character varieties: characterizations and applications
Moduli spaces of real projective structures on surfaces
On cyclic Higgs bundles
Compact anti-de Sitter 3-manifolds and folded hyperbolic structures on surfaces
Volume entropy of Hilbert metrics and length spectrum of Hitchin representations into $\mathrm{PSL}(3,\mathbb{R})$
Positively ratioed representations
Nonnegative minors of minor matrices
Spectral networks and snakes
Moduli spaces of local systems and higher Teichmüller theory
Anosov flows, surface groups and curves in projective space
Cusped Hitchin representations and Anosov representations of geometrically finite Fuchsian groups
Differential geometry, Lie groups, and symmetric spaces.
Dominating Surface Group Representations by Fuchsian Ones
Surface groups acting on spaces
AN INVITATION TO HIGHER TEICHMÜLLER THEORY
The monodromy of meromorphic projective structures
On the Vector Representations of Induced Matroids
Inequalities: theory of majorization and its applications
Total positivity: tests and parametrizations.
Dominating surface-group representations into $\mathrm{PSL}_2 (\mathbb{C})$ in the relative representation variety
Matrix Analysis and Applied Linear Algebra, Second Edition
Domination results in n$n$‐Fuchsian fibers in the moduli space of Higgs bundles
Infinite energy equivariant harmonic maps, domination, and anti-de Sitter $3$-manifolds

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