DOI10.1007/BF01410200zbMath0655.57019OpenAlexW1976694540MaRDI QIDQ1109378
William M. Goldman
Publication date: 1988
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/143609
Quantisation of super Teichmüller theory ⋮
Twisted character varieties, covering spaces, and gerbes ⋮
Connected components of Isom\((\mathbb{H}^3)\)-representations of non-orientable surfaces ⋮
The Topology of the Relative Character Varieties of a Quadruply-Punctured Sphere ⋮
Positivity and higher Teichmüller theory ⋮
Character varieties of mutative 3-manifolds ⋮
Representations of the Kauffman bracket skein algebra. I: Invariants and miraculous cancellations ⋮
Commuting elements and spaces of homomorphisms ⋮
Algebraic representations of Teichmüller space ⋮
Branched \(\mathbb{C} P^ 1\)-structures on surfaces with prescribed real holonomy ⋮
Studying deformations of Fuchsian representations with Higgs bundles ⋮
On monodromy of complex projective structures ⋮
Constant mean curvature foliations of globally hyperbolic spacetimes locally modelled on \(Ad\, S_{3}\) ⋮
Lorentz spacetimes of constant curvature ⋮
Notes on a paper of Mess ⋮
Bounded differential forms, generalized Milnor-Wood inequality and an application to deformation rigidity ⋮
On L-spaces and left-orderable fundamental groups ⋮
Representation varieties of the fundamental groups of compact orientable surfaces ⋮
An action of subgroups of mapping class groups on polynomial algebras ⋮
Length functions of Hitchin representations ⋮
Commuting tuples in reductive groups and their maximal compact subgroups. ⋮
Geometrisation of purely hyperbolic representations in \(\mathrm{PSL}_2\mathbb{R}\) ⋮
Non-abelian Hodge theory and related topics ⋮
Maximal surface group representations in isometry groups of classical Hermitian symmetric spaces ⋮
Maximal Higgs bundles for adjoint forms via Cayley correspondence ⋮
Semialgebraic description of Teichmüller space ⋮
2\(\pi\)-grafting and complex projective structures with generic holonomy ⋮
Holonomy map fibers of ℂP1-structures in moduli space ⋮
A note on exceptional groups and Reidemeister torsion ⋮
Anosov representations: domains of discontinuity and applications. ⋮
Goldman form, flat connections and stable vector bundles ⋮
Supergroup structure of Jackiw-Teitelboim supergravity ⋮
Naturality properties and comparison results for topological and infinitesimal embedded jump loci ⋮
Positively ratioed representations ⋮
Geometric interpretation of simplicial formulas for the Chern-Simons invariant ⋮
Complex twist flows on surface group representations and the local shape of the deformation space of hyperbolic cone-3-manifolds ⋮
Ergodic actions of mapping class groups on moduli spaces of representations of non-orientable surfaces ⋮
Connected components of the compactification of representation spaces of surface groups ⋮
On the fundamental group of Hom\(({\mathbb Z}^k,G)\) ⋮
The Witten-Reshetikhin-Turaev invariants of finite order mapping tori. II. ⋮
Geodesic surfaces in the complement of knots with small crossing number ⋮
Lyapunov exponents, holomorphic flat bundles and de Rham moduli space ⋮
The modular group action on real \(SL(2)\)-characters of a one-holed torus ⋮
Variétés anti-de Sitter de dimension 3 exotiques. (Exotic 3-dimension anti-de Sitter manifolds) ⋮
Collisions of particles in locally AdS spacetimes. II: Moduli of globally hyperbolic spaces ⋮
Parametrization of PSL\((2,\mathbb C)\)-representations of surface groups ⋮
Volume invariant and maximal representations of discrete subgroups of Lie groups ⋮
Restrictions of representations of a surface group to a pair of free subgroups ⋮
Grothendieck's problem for 3-manifold groups ⋮
Parameterizing Hitchin components ⋮
Spaces of surface group representations ⋮
Fundamental groups of character varieties: surfaces and tori ⋮
The spectrum for commutative complex \(K\)-theory ⋮
Maximal surfaces in anti-de Sitter 3-manifolds with particles ⋮
Representations of complex hyperbolic lattices into rank 2 classical Lie groups of Hermitian type ⋮
Construction of constant mean curvature \(n\)-noids from holomorphic potentials ⋮
Physical measures for the geodesic flow tangent to a transversally conformal foliation ⋮
Complex orthogonal geometric structures of dimension three ⋮
Morse theory, Higgs fields, and Yang-Mills-Higgs functionals ⋮
The geometry of maximal components of the \(\mathsf{PSp}(4, \mathbb{R})\) character variety ⋮
Unnamed Item ⋮
Hyperbolic cone-manifold structures with prescribed holonomy. I: Punctured tori ⋮
Fuchsian groups, finite simple groups and representation varieties. ⋮
Real places and torus bundles ⋮
Hyperbolic cone-manifold structures with prescribed holonomy. II: Higher genus ⋮
Geodesics with one self-intersection, and other stories ⋮
Probabilistic Waring problems for finite simple groups ⋮
Quantum gravity in \(2+1\) dimensions: the case of a closed universe ⋮
Surface groups are frequently faithful ⋮
Anosov flows, surface groups and curves in projective space ⋮
Stable splittings, spaces of representations and almost commuting elements in Lie groups ⋮
The action of the mapping class group on maximal representations. ⋮
Surface group representations with maximal Toledo invariant ⋮
Topology and dynamics of laminations in surfaces of general type ⋮
The geometry of maximal representations of surface groups into \(\mathrm{SO}_0(2,n)\) ⋮
Moduli spaces and macromolecules ⋮
Supersymmetric Gauge Theories, Quantization of $${\mathcal M}_\mathrm{flat}$$ , and Conformal Field Theory ⋮
Bers and Hénon, Painlevé and Schrödinger ⋮
Moduli spaces of Higgs bundles - old and new ⋮
Non-faithful representations of surface groups into \(\mathrm{SL}(2,\mathbb C)\) which kill no simple closed curve ⋮
Fundamental group of moduli spaces of representations ⋮
On the character variety of the four-holed sphere ⋮
REPRESENTATIONS OF SURFACE GROUPS IN THE PROJECTIVE GENERAL LINEAR GROUP ⋮
Intersections in hyperbolic manifolds ⋮
Bers slices are Zariski dense ⋮
Principal Schottky bundles over Riemann surfaces ⋮
The hyperbolic meaning of the Milnor-Wood inequality ⋮
Six-point configurations in the hyperbolic plane and ergodicity of the mapping class group ⋮
On type-preserving representations of thrice punctured projective plane group ⋮
\(\mathrm{SO}(p,q)\)-Higgs bundles and higher Teichmüller components ⋮
Character varieties ⋮
Higgs bundles and higher Teichmüller spaces ⋮
On the construction of minimal foliations by hyperbolic surfaces on 3-manifolds ⋮
Character varieties for real forms ⋮
Affine actions with Hitchin linear part ⋮
Length asymptotics in higher Teichmüller theory ⋮
The space of surface group representations ⋮
The orbit method and the Virasoro extension of \(\text{diff}^+(S^1)\). I: Orbital integrals ⋮
Basic \(\mathrm{PU}(1,1)\)-representations of the hyperelliptic group are discrete ⋮
The modular action on \(\mathrm{PSL}_2(\mathbb{R})\)-characters in genus 2 ⋮
From Hyperbolic Dehn Filling to Surgeries in Representation Varieties ⋮
On the surjectivity of certain word maps on SU(2) ⋮
Bounded Kähler class rigidity of actions on Hermitian symmetric spaces ⋮
The quantum trace as a quantum non-abelianization map ⋮
Modular orbits on the representation spaces of compact abelian Lie groups ⋮
Holonomy of complex projective structures on surfaces with prescribed branch data ⋮
AdS 3-manifolds and Higgs bundles ⋮
Groups acting at infinity ⋮
Zeta functions in higher Teichmüller theory ⋮
Bers' simultaneous uniformization and the intersection of Poincaré holonomy varieties ⋮
Resurgence, conformal blocks, and the sum over geometries in quantum gravity ⋮
On deformation spaces of nonuniform hyperbolic lattices ⋮
On spaces of commuting elements in Lie groups ⋮
Flawed groups and the topology of character varieties ⋮
Off-shell partition functions in 3d gravity ⋮
Volume of Seifert representations for graph manifolds and their finite covers ⋮
Convex Real Projective Structures on Closed Surfaces are Closed ⋮
A Survey on Spaces of Homomorphisms to Lie Groups ⋮
Flat Affine, Projective and Conformal Structures on Manifolds: A Historical Perspective ⋮
Dehn twists and invariant classes ⋮
Nilpotent n-tuples in SU(2) ⋮
Monodromy of rank 2 twisted Hitchin systems and real character varieties ⋮
Analogue gravity ⋮
Minimal n -noids in hyperbolic and anti-de Sitter 3-space ⋮
The deformation theory of representations of fundamental groups of compact Kähler manifolds ⋮
MONODROMY OF THE SL2 HITCHIN FIBRATION ⋮
Symmetric cubic surfaces and 𝐆₂ character varieties ⋮
Cosmological time in (2+1)-gravity ⋮
The Einstein-Vlasov system/kinetic theory ⋮
Unitarization of Loop Group Representations of Fundamental Groups ⋮
A discreteness algorithm for 4-punctured sphere groups ⋮
The Riemann-Hilbert mapping for $\mathfrak{sl}_2$ systems over genus two curves ⋮
Curves of period two points for trace maps ⋮
Higher Teichmüller Theory for Surface Groups and Shifts of Finite Type ⋮
Uniformization of branched surfaces and Higgs bundles