MODULI SPACES OF TOPOLOGICAL CALIBRATIONS, CALABI–YAU, HYPERKÄHLER, G2 and SPIN(7) STRUCTURES

DOI10.1142/S0129167X04002296zbMath1046.58002arXivmath/0112197MaRDI QIDQ4809773

Ryushi Goto

Publication date: 30 August 2004

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

Full work available at URL: https://arxiv.org/abs/math/0112197

Mathematics Subject Classification ID

Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Moduli problems for differential geometric structures (58D27) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Spin and Spin({}^c) geometry (53C27) Exterior differential systems (Cartan theory) (58A15) Calibrations and calibrated geometries (53C38)

Related Items (15)

A spinorial energy functional: critical points and gradient flow ⋮ Gluing construction of compact complex surfaces with trivial canonical bundle ⋮ Holonomy rigidity for Ricci-flat metrics ⋮ Infinitesimal moduli for the Strominger system and Killing spinors in generalized geometry ⋮ Differential geometric global smoothings of simple normal crossing complex surfaces with trivial canonical bundle ⋮ Unobstructed K-deformations of generalized complex structures and bi-Hermitian structures ⋮ The moduli space of transverse Calabi-Yau structures on foliated manifolds ⋮ On the stability of locally conformal Kähler structures ⋮ On deformations of generalized Calabi-Yau and generalized \(\mathrm{SU}(n)\)-structures ⋮ Deformations of transverse Calabi-Yau structures on foliated manifolds ⋮ Duality of Hodge numbers of compact complex nilmanifolds ⋮ Poisson structures and generalized Kähler submanifolds ⋮ Transverse Kähler holonomy in Sasaki geometry and \(\mathcal{S}\)-stability ⋮ A RIGIDITY THEOREM FOR QUATERNIONIC KÄHLER STRUCTURES ⋮ Gravitational instantons from rational elliptic surfaces

Cites Work

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• The moduli space of extremal compact Kähler manifolds and generalized Weil-Petersson metrics
• Metrics with exceptional holonomy
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Compact Riemannian 7-manifolds with holonomy \(G_ 2\). I

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