GENERALIZED CALABI–YAU STRUCTURES, K3 SURFACES, AND B-FIELDS

DOI10.1142/S0129167X05002734zbMath1120.14027arXivmath/0306162OpenAlexW1979413661MaRDI QIDQ4658716

Daniel Huybrechts

Publication date: 18 March 2005

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0306162

zbMATH Keywords

moduli spacessymplectic structuregeneralized geometrySCFTCalabi-Yau structure

Mathematics Subject Classification ID

(K3) surfaces and Enriques surfaces (14J28) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26) Period matrices, variation of Hodge structure; degenerations (32G20) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21)

Related Items (27)

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Cites Work

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• Polynomial invariants for smooth four-manifolds
• Every K 3 surface is Kähler
• Diffeomorphisms of a K3 surface
• Vertex algebras, mirror symmetry, and D-branes: the case of complex tori
• Cohomology of compact hyperkähler manifolds and its applications
• INTEGRAL SYMMETRIC BILINEAR FORMS AND SOME OF THEIR APPLICATIONS
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• A hiker's guide to \(K3\). Aspects of \(N=(4,4)\) superconformal field theory with central charge \(c=6\)

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