Abstract
We construct a family of Calabi-Yau metrics on C 3 \mathbb {C}^3 with properties analogous to the Taub-NUT metric on C 2 \mathbb {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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