The Hyperholomorphic Line Bundle

DOI10.1007/978-3-319-05404-9_8zbMath1319.32020arXiv1306.4241OpenAlexW1828617794MaRDI QIDQ5246011

Nigel J. Hitchin

Publication date: 17 April 2015

Published in: Algebraic and Complex Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1306.4241

zbMATH Keywords

compact Lie groupshyperkähler quotientminimal resolutions of Kleinian singularities

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Kähler-Einstein manifolds (32Q20)

Related Items (8)

Special geometry of Euclidean supersymmetry. IV: The local c-map ⋮ \((G,P)\)-opers and global Slodowy slices ⋮ Twist geometry of the c-map ⋮ Complete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifolds ⋮ Rozansky-Witten theory, localised then tilted ⋮ A hyperholomorphic line bundle on certain hyperkähler manifolds not admitting an \(S^1\)-symmetry ⋮ Deligne pairings and families of rank one local systems on algebraic curves ⋮ The twistor space of \(\mathbb{R}^{4n}\) and Berezin-Toeplitz operators

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• Hyperkähler metrics on cotangent bundles
• Twisteurs des orbites coadjointes et métriques hyper-pseudokählériennes
• Hypercomplex manifolds and hyperholomorphic bundles

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