The construction of ALE spaces as hyper-Kähler quotients
TL;DR: On decrit la construction d'une famille particuliere de 4-varietes hyper-Kahler: les espaces asymptotiquement localement euclidiens ALE On decrit une 4-variiete de Riemann avec juste une extremite qui a l'infini ressemble au quotient R 4 /Γ de l'espace Euclidien R 4 par un groupe fini Γ d'identifications as mentioned in this paper.
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Abstract: On decrit la construction d'une famille particuliere de 4-varietes hyper-Kahler: les espaces asymptotiquement localement euclidiens ALE On decrit une 4-variete de Riemann avec juste une extremite qui a l'infini ressemble au quotient R 4 /Γ de l'espace euclidien R 4 par un groupe fini Γ d'identifications
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References
Gravitation, Gauge Theories and Differential Geometry
TL;DR: In this article, the Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois, USA Peter B. GILKEY Fine Hall, Box 37.
2K
Hyperkahler Metrics and Supersymmetry
TL;DR: In this paper, two constructions of hyperkahler manifolds, one based on a Legendre transform and one on a sympletic quotient, are described, which can be described geometrically.
•Book
Cohomology of Quotients in Symplectic and Algebraic Geometry
Frances Kirwan
- 01 Jul 1984
TL;DR: In this paper, a general procedure for calculating the Betti numbers of the projective quotient varieties that geometric invariant theory associates to reductive group actions on nonsingular complex projective varieties is described.
Gravitational Multi - Instantons
TL;DR: In this article, a family of self-dual positive definite metrics which are asymptotic to Euclidean space modulo identifications under discrete subgroups of O(4) was presented.
908
•Book
Simple singularities and simple algebraic groups
Peter Slodowy
- 01 Jan 1980
TL;DR: In this article, the resolution of the adjoint quotient of an adjoint action is defined as the sum of all the elements in simple lie algebras and simple singularities.
683
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