Moduli spaces of anti-self-dual connections on ALE gravitational instantons

DOI10.1007/BF01233429zbMath0714.53026MaRDI QIDQ750916

Hiraku Nakajima

Publication date: 1990

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/143836

zbMATH Keywords

moduli spacegravitational instantonshyper-Kähler structureendasymptotically locally Euclidean manifoldanti-self-dual connections

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Applications of manifolds of mappings to the sciences (58D30) Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills) (53C07)

Related Items

Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras, Erratum: Moduli spaces of self-dual connections over asymptotically locally flat gravitational instantons, Equivariant Floer groups for binary polyhedral spaces, Instantons and framed sheaves on Kähler Deligne–Mumford stacks, \(G_{2}\)-instantons on generalised Kummer constructions, Explicit construction of Yang-Mills instantons on ALE spaces, Instantons, topological strings, and enumerative geometry, Curve counting, instantons and McKay correspondences, \(G_2\)-instantons on resolutions of \(G_2\)-orbifolds, Deformation theory of asymptotically conical \(Spin(7)\)-instantons, \(SU(2)^2\)-invariant gauge theory on asymptotically conical Calabi-Yau 3-folds, Blowups in BPS/CFT correspondence, and Painlevé VI, Decay estimate for Yang-Mills fields on ALE spaces and applications, Yang-Mills instantons on ALE gravitational instantons, \(E_8\) instantons on type-A ALE spaces and supersymmetric field theories, Vortices on orbifolds, Matrix model from \( \mathcal{N} = 2 \) orbifold partition function, Spin(7)-instantons, Cayley submanifolds and Fueter sections, Instanton moduli as a novel map from tori to K3-surfaces, More on \(\mathcal{N} = 2\) S-folds, Fractional black \(p\)-branes on orbifold \(\mathbb{C}^n/ \mathbb{Z}_n\), A Kato-Yau inequality and decay estimate for eigenspinors.

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