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arxiv: 1902.08770 · v1 · pith:IWWTG4TYnew · submitted 2019-02-23 · 🧮 math.DG · math.AG

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

classification 🧮 math.DG math.AG
keywords calabi-yaumetricanalogousconstructfamilymetricsooguri-vafaproperties
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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.

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