The moduli space of asymptotically cylindrical Calabi-Yau manifolds

DOI10.1007/s00220-015-2383-zzbMath1328.53094arXiv1408.6562OpenAlexW2964152993MaRDI QIDQ2353998

Ronan J. Conlon, Frédéric Rochon, Rafe R. Mazzeo

Publication date: 10 July 2015

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.6562

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Calabi-Yau theory (complex-analytic aspects) (32Q25) Moduli problems for differential geometric structures (58D27) Hodge theory in global analysis (58A14)

Related Items (8)

On partial uniqueness of complete non-compact Ricci flat metrics ⋮ Gluing and deformation of asymptotically cylindrical Calabi-Yau manifolds in complex dimension three ⋮ Moduli space and deformations of special Lagrangian submanifolds with edge singularities ⋮ Quasi-asymptotically conical Calabi-Yau manifolds ⋮ Polyhomogeneity of metrics compatible with a Lie structure at Infinity along the Ricci flow ⋮ Kähler-Einstein metrics with edge singularities ⋮ BCOV invariants of Calabi-Yau manifolds and degenerations of Hodge structures ⋮ Asymptotically conical Calabi-Yau metrics on quasi-projective varieties

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotically cylindrical Calabi-Yau 3-folds from weak Fano 3-folds
• Asymptotically conical Calabi-Yau manifolds. I
• Calabi-Yau structures and Einstein-Sasakian structures on crepant resolutions of isolated singularities
• \(G_2\)-manifolds and associative submanifolds via semi-Fano 3-folds
• Hodge cohomology of gravitational instantons
• Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds
• Asymptotically cylindrical Calabi-Yau manifolds
• Ricci-flat Kähler metrics on crepant resolutions of Kähler cones
• Einstein metrics and complex structures
• Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants
• The analysis of elliptic families. I: Metrics and connections on determinant bundles
• Boundary behaviour of the complex Monge-Ampère equation
• Resolvent of the Laplacian on strictly pseudoconvex domains
• Complete Kähler manifolds with zero Ricci curvature. II
• On deformations of compactifiable complex manifolds
• The Weil-Petersson geometry of the moduli space of SU(n\(\geq 3)\) (Calabi- Yau) manifolds. I
• Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes
• On the cone structure at infinity of Ricci flat manifolds with Euclidean volume growth and quadratic curvature decay
• Families of Dirac operators, boundaries and the \(B\)-calculus
• Complex geometry. An introduction
• Transverse Kähler geometry of Sasaki manifolds and toric Sasaki-Einstein manifolds
• Asymptotically conical Calabi-Yau metrics on quasi-projective varieties
• Deformations of asymptotically cylindrical coassociative submanifolds with fixed boundary
• Gravitational instantons from rational elliptic surfaces
• K3 surfaces with non-symplectic involution and compact irreducible G₂-manifolds
• Hodge theoretic aspects of mirror symmetry
• Métriques kählériennes et fibrés holomorphes
• Elliptic theory of differential edge operators I
• On the ricci curvature of a compact kähler manifold and the complex monge-ampére equation, I
• Twisted connected sums and special Riemannian holonomy
• FANO MANIFOLDS, CONTACT STRUCTURES, AND QUATERNIONIC GEOMETRY
• Deformations of Asymptotically Cylindrical Special Lagrangian Submanifolds with Fixed Boundary
• Hodge cohomology of some foliated boundary and foliated cusp metrics
• On the asymptotic expansion of complete Ricciflat Kähler metrics on quasi-projective manifolds
• Asymptotically cylindrical Ricci-flat manifolds
• Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli
• Complete Kahler Manifolds with Zero Ricci Curvature. I
• Kähler-Einstein metrics with edge singularities

This page was built for publication: The moduli space of asymptotically cylindrical Calabi-Yau manifolds