SYZ geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa type metrics

Abstract

We construct a family of Calabi-Yau metrics on $\C^3$ with properties analogous to the Taub-NUT metric on $\C^2$, and construct a family of Calabi-Yau 3-fold metric models on the positive and negative vertices of SYZ fibrations with properties analogous to the Ooguri-Vafa metric.

arXiv comment124 pages, in 4 chapters

References in corpus (6)

• Asymptotically conical Calabi-Yau manifolds, I
• Special Lagrangian Fibrations I: Topology
• Special Lagrangian Fibrations II: Geometry
• Fredholm theory for elliptic operators on quasi-asymptotically conical spaces
• On the structure of supersymmetric T3 fibrations
• Lagrangian torus fibration of quintic Calabi-Yau hypersurfaces I: Fermat quintic case

Cited by in corpus (2)

• Complex structure degenerations and collapsing of Calabi-Yau metrics
• SYZ conjecture for Calabi-Yau hypersurfaces in the Fermat family