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

Abstract

We construct a family of Calabi-Yau metrics on 3 with properties analogous to the Taub-NUT metric on 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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