Projective structures with Fuchsian holonomy
From MaRDI portal
Publication:1077762
DOI10.4310/jdg/1214440978zbMath0595.57012OpenAlexW1520325860WikidataQ115184813 ScholiaQ115184813MaRDI QIDQ1077762
Publication date: 1987
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214440978
Teichmüller spaceflat connectionfoliated bundleFuchsian representationdeveloping mapsflat conformal structuresholonomy homomorphismmeasured lamination spacereal and complex projective structures on closed surfaces
Foliations in differential topology; geometric theory (57R30) Connections (general theory) (53C05) Fiber spaces and bundles in algebraic topology (55R99)
Related Items
Accessory parameters for four-punctured spheres ⋮ A canonical metric for Möbius structures and its applications ⋮ EXOTIC COMPONENTS IN LINEAR SLICES OF QUASI-FUCHSIAN GROUPS ⋮ Branched \(\mathbb{C} P^ 1\)-structures on surfaces with prescribed real holonomy ⋮ Möbius Structures, Hyperbolic Ends and k-Surfaces in Hyperbolic Space ⋮ The grafting map of Teichmüller space ⋮ On monodromy of complex projective structures ⋮ Branched projective structures with Fuchsian holonomy ⋮ Lorentz spacetimes of constant curvature ⋮ Notes on a paper of Mess ⋮ The symplectic nature of the space of projective connections on Riemann surfaces ⋮ Topological components of spaces of representations ⋮ Analytic Langlands correspondence for \(PGL_2\) on \(\mathbb{P}^1\) with parabolic structures over local fields ⋮ Spherical CR-manifolds of dimension 3 ⋮ Geometrisation of purely hyperbolic representations in \(\mathrm{PSL}_2\mathbb{R}\) ⋮ Some graftings of complex projective structures with Schottky holonomy ⋮ Grafting and Poisson structure in \((2+1)\)-gravity with vanishing cosmological constant ⋮ 2\(\pi\)-grafting and complex projective structures with generic holonomy ⋮ Holonomy map fibers of ℂP1-structures in moduli space ⋮ Is there an analytic theory of automorphic functions for complex algebraic curves? ⋮ Heijal's theorem for projective structures on surfaces with parabolic punctures ⋮ Real slices of \(\mathrm{SL}(r,\mathbb{C})\)-opers ⋮ Tameness of Margulis space-times with parabolics ⋮ Symplectic geometry of the moduli space of projective structures in homological coordinates ⋮ Mini-workshop: Quantization of complex symplectic varieties. Abstracts from the mini-workshop held October 2--8, 2022 ⋮ Multi(de)grafting quasi-Fuchsian complex projective structures via bubbles ⋮ On continuous extensions of grafting maps ⋮ Bers' simultaneous uniformization and the intersection of Poincaré holonomy varieties ⋮ Hecke operators and analytic Langlands correspondence for curves over local fields ⋮ Gauge theory and the analytic form of the geometric Langlands program ⋮ Complex projective structures with Schottky holonomy ⋮ The classification of real projective structures on compact surfaces ⋮ Real projective structures on Riemann surfaces and new hyper-Kähler manifolds ⋮ Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective ⋮ Asymptoticity of grafting and Teichmüller rays ⋮ A deformation of flat conformal structures ⋮ Grafting hyperbolic metrics and Eisenstein series ⋮ Local deformations of branched projective structures: Schiffer variations and the Teichmüller map ⋮ Exotic projective structures and quasi-Fuchsian space. II ⋮ THE UNIVERSAL COVER OF AN AFFINE THREE-MANIFOLD WITH HOLONOMY OF SHRINKABLE DIMENSION ≤ TWO ⋮ The Schwarzian derivative and measured laminations on Riemann surfaces ⋮ Geometrical \((2+1)\)-gravity and the Chern-Simons formulation: grafting, Dehn twists, Wilson loop observables and the cosmological constant ⋮ Prescribed holonomy for projective structures on compact surfaces ⋮ Complex earthquakes and Teichmüller theory ⋮ Bubbling complex projective structures with quasi-Fuchsian holonomy ⋮ Affine Manifolds and Orbits of Algebraic Groups ⋮ Projective structures, grafting and measured laminations ⋮ Real projective connections, V. I. Smirnov's approach, and black-hole-type solutions of the Liouville equation ⋮ Conformally Flat Manifolds whose Development Maps are not Surjective. I ⋮ Iterated grafting and holonomy lifts of Teichmüller space ⋮ Hyperbolic 4-manifolds and conformally flat 3-manifolds ⋮ Hyperbolic 4-manifolds and tesselations ⋮ The convex and concave decomposition of manifolds with real projective structures ⋮ Conformal Automorphisms and Conformally Flat Manifolds ⋮ A Glimpse into Thurston’s Work ⋮ On Thurston’s Parameterization of $$\mathbb {C}\mathrm {P}^1$$ -Structures ⋮ Extended monodromy for bordered surfaces ⋮ Bers slices are Zariski dense ⋮ Autour de la conjecture de L. Markus sur les variétés affines. (Around the conjecture of L. Markus on affine manifolds) ⋮ Differential operators on complex manifolds with a flat projective structure ⋮ A Schottky decomposition theorem for complex projective structures ⋮ Projective structures with discrete holonomy representations ⋮ Exotic projective structures and quasi-Fuchsian space. ⋮ Local rigidity of hyperbolic 3-manifolds after Dehn surgery ⋮ Geometrical compactifications of geodesic flows and path structures ⋮ Group actions, Teichmüller spaces and cobordisms
