Tame and relatively elliptic \(\mathbb{CP}^1\)-structures on the thrice-punctured sphere

DOI10.2140/agt.2024.24.4589MaRDI QIDQ6660983

Samuel A. Ballas, Alex Casella, Lorenzo Ruffoni, Philip L. Bowers

Publication date: 10 January 2025

Published in: Algebraic \& Geometric Topology (Search for Journal in Brave)

zbMATH Keywords

triangle groupquadratic differentialcomplex projective structuregraftingconfiguration of circlesMöbius completionrelatively elliptic representation

Mathematics Subject Classification ID

General geometric structures on low-dimensional manifolds (57M50) Differentials on Riemann surfaces (30F30)

Cites Work

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• Complex projective structures with Schottky holonomy
• Iterated grafting and holonomy lifts of Teichmüller space
• \(2\pi\)-grafting and complex projective structures. I
• A Schottky decomposition theorem for complex projective structures
• Projective structures with Fuchsian holonomy
• Monodromy groups and linearly polymorphic functions
• A canonical metric for Möbius structures and its applications
• Sur l'uniformisation des fonctions analytiques.
• The monodromy groups of Schwarzian equations on closed Riemann surfaces
• Complex projective structures: Lyapunov exponent, degree, and harmonic measure
• 2\(\pi\)-grafting and complex projective structures with generic holonomy
• Monodromy groups of projective structures on punctured surfaces
• Meromorphic projective structures, grafting and the monodromy map
• Distances on the moduli space of complex projective structures
• Local deformations of branched projective structures: Schiffer variations and the Teichmüller map
• Heijal's theorem for projective structures on surfaces with parabolic punctures
• Multi(de)grafting quasi-Fuchsian complex projective structures via bubbles
• The oriented graph of multi-graftings in the Fuchsian case
• The variety of characters in \(\text{PSL}_2(\mathbb{C})\)
• Special coordinate coverings of Riemann surfaces
• Deformation of Fuchsian groups
• Deformations of Fuchsian groups. II
• Branched projective structures with Fuchsian holonomy
• Periods of abelian differentials and dynamics
• On Thurston’s Parameterization of $$\mathbb {C}\mathrm {P}^1$$ -Structures
• Foundations of Hyperbolic Manifolds
• Complex Projective Structures
• Spherical Metrics with Conical Singularities on a 2-Sphere: Angle Constraints
• Metrics of positive curvature with conic singularities on the sphere
• Monodromy groups of CP1‐structures on punctured surfaces
• The monodromy of meromorphic projective structures
• Bubbling complex projective structures with quasi-Fuchsian holonomy
• Monodromy representations of meromorphic projective structures
• The Riemann-Hilbert mapping for $\mathfrak{sl}_2$ systems over genus two curves
• Complex projective structures with maximal number of Möbius transformations
• A Generalization of a Theorem of Poincare
• Branched Structures on Riemann Surfaces
• Translation surfaces and periods of meromorphic differentials

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