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

Published 23 Feb 2019 in math.DG and math.AG | (1902.08770v1)

Abstract: We construct a family of Calabi-Yau metrics on $\C3$ with properties analogous to the Taub-NUT metric on $\C2$, 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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