DOI10.4310/jdg/1214457032zbMath0861.53049OpenAlexW1503703259WikidataQ115178007 ScholiaQ115178007MaRDI QIDQ1907677
Nigel J. Hitchin
Publication date: 13 May 1997
Published in: Journal of Differential Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4310/jdg/1214457032
Global Asymptotics of the Sixth Painlevé Equation in Okamoto’s Space,
On uniqueness of conformally compact Einstein metrics with homogeneous conformal infinity,
Symmetric instantons and the ADHM construction,
The Hermite-Krichever ansatz for Fuchsian equations with applications to the sixth Painlevé equation and to finite-gap potentials,
Singular instantons and Painlevé VI,
On 3-dimensional CR manifolds and twistors,
Spectral action for Bianchi type-IX cosmological models,
Toric self-dual Einstein metrics as quotients,
Seven-dimensional Einstein manifolds from Tod-Hitchin geometry,
Symbolic dynamics, modular curves, and Bianchi IX cosmologies,
Deformation of LeBrun's ALE metrics with negative mass,
Painlevé VI equations in \(p\)-adic time,
Construction and classification of certain algebraic solutions of Garnier systems,
Unitary monodromy implies the smoothness along the real axis for some Painlevé VI equation. I.,
Circular pentagons and real solutions of Painlevé VI equations,
Exact solution of the sixth Painlevé equation and exotic asymptotic expansion,
Spinors, twistors and classical geometry,
Geometric models of matter,
Gravity, strings, modular and quasimodular forms,
Hessian of the natural Hermitian form on twistor spaces,
Classical boundary-value problem in Riemannian quantum gravity and Taub-Bolt-anti-de Sitter geometries,
Pole distribution of PVI transcendents close to a critical point,
Classification of algebraic solutions of irregular Garnier systems,
The Chazy XII equation and Schwarz triangle functions,
The sixth Painlevé transcendent and uniformization of algebraic curves,
Proper superminimal surfaces of given conformal types in the hyperbolic four-space,
Manifold ways to Darboux-Halphen system,
A note on the relationship between solutions of Einstein, Ramanujan and Chazy equations,
A systematic study on matrix models for Chern-Simons-matter theories,
On a reduction of the generalized Darboux-Halphen system,
An area-preserving action of the modular group on cubic surfaces and the Painlevé VI equation,
The supersymmetric NUTs and bolts of holography,
A map between moduli spaces of connections,
Self-dual Einstein metrics from the Painlevé VI equation,
Tau functions and the twistor theory of integrable systems.,
Curvature properties of twistor spaces,
QUATERNIONIC KAHLER MANIFOLDS OF COHOMOGENEITY ONE,
Algebro-geometric approach to an Okamoto transformation, the Painlevé VI and Schlesinger equations,
Modular forms in the spectral action of Bianchi IX gravitational instantons,
On reducible monodromy representations of some generalized Lamé equation,
Twistor theory at fifty: from contour integrals to twistor strings,
Harmonicity of the Atiyah-Hitchin-Singer and Eells-Salamon almost complex structures,
Dihedral singularities and gravitational instantons,
Cubic and Quartic Transformations of the Sixth Painlevé Equation in Terms of Riemann–Hilbert Correspondence,
Quaternionic metrics from harmonic superspace: Lagrangian approach and quotient construction.,
Symmetric cubic surfaces and 𝐆₂ character varieties,
Examples of almost Einstein structures on products and in cohomogeneity one,
Universal hypermultiplet metrics,
Simple zero property of some holomorphic functions on the moduli space of tori,
The symplectic and twistor geometry of the general isomonodromic deformation problem,
Einstein condition and twistor spaces of compatible partially complex structures,
The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds,
Ramified covers and tame isomonodromic solutions on curves,
Symplectic manifolds and isomonodromic deformations,
On the generalized Riemann--Hilbert problem with irregular singularities,
Hamiltonian system for the elliptic form of Painlevé VI equation,
The Lamé family of connections on the projective line,
Deformations of the Zolotarev polynomials and Painlevé VI equations,
Classification of 't Hooft instantons over multi-centered gravitational instantons,
Note on algebro-geometric solutions to triangular Schlesinger systems,
Isomonodromic deformations and SU\(_2\)-invariant instantons on \(S^4\),
A construction of Poincaré–Einstein metrics of cohomogeneity one on the ball,
Singular monopoles and supersymmetric gauge theories in three dimensions,
Parameterizations of the Chazy Equation,
Curvature, cones and characteristic numbers,
\(\text{U}(1)\)-decomposable self-dual manifolds,
Low energy scattering of nonabelian monopoles.,
Exact renormalization flow and domain walls from holography,
30 years of finite-gap integration theory,
The symplectic Kadomtsev-Petviashvili hierarchy and rational solutions of Painlevé VI.,
Classical boundary-value problem in Riemannian quantum gravity and self-dual Taub-NUT-(anti) de Sitter geometries,
A review of the sixth Painlevé equation,
On uniqueness and existence of conformally compact Einstein metrics with homogeneous conformal infinity,
On Kähler conformal compactifications of \(U(n)\)-invariant ALE spaces,
Harmonic forms on asymptotically ADS metrics,
Null Kähler geometry and isomonodromic deformations,
Heisenberg symmetry and hypermultiplet manifolds