Toric anti-self-dual 4-manifolds via complex geometry

DOI10.1007/s00208-006-0003-0zbMath1114.53044arXivmath/0602423OpenAlexW1997150268MaRDI QIDQ2509008

Joel Fine, Simon K. Donaldson

Publication date: 16 October 2006

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602423

zbMATH Keywords

anti-self-dualtwistortoric manifold

Mathematics Subject Classification ID

Twistor methods in differential geometry (53C28)

Related Items (3)

Compact anti-self-dual orbifolds with torus actions ⋮ Toric anti-self-dual Einstein metrics via complex geometry ⋮ The Calabi-Yau property of superminimal surfaces in self-dual Einstein four-manifolds

Cites Work

• Selfdual Einstein metrics with torus symmetry
• Explicit construction of self-dual 4-manifolds
• A Note on Hyperhermitian Four-Manifolds
• Linear field equations on self-dual spaces
• On Twistor Spaces of Anti-Self-Dual Hermitian Surfaces
• Self-duality in four-dimensional Riemannian geometry

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