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SYZ Geometry for Calabi-Yau 3-folds: Taub-NUT and Ooguri-Vafa Type Metrics
About this Title
Yang Li
Publication: Memoirs of the American Mathematical Society
Publication Year:
2023; Volume 292, Number 1453
ISBNs: 978-1-4704-6782-1 (print); 978-1-4704-7698-4 (online)
DOI: https://doi.org/10.1090/memo/1453
Published electronically: November 21, 2023
Table of Contents
Chapters
- 1. Introduction and Background Review
- 2. Taub-NUT Type Metrics on $\mathbb {C}^3$
- 3. The Positive Vertex
- 4. The Negative Vertex
Abstract
We construct a family of Calabi-Yau metrics on $\mathbb {C}^3$ with properties analogous to the Taub-NUT metric on $\mathbb {C}^2$, 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.- Michael Atiyah and Nigel Hitchin, The geometry and dynamics of magnetic monopoles, M. B. Porter Lectures, Princeton University Press, Princeton, NJ, 1988. MR 934202, DOI 10.1515/9781400859306
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