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arXiv · 1607.07127

Homological mirror symmetry for local Calabi-Yau manifolds via SYZ

Kwokwai Chan
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Abstract

This is a write-up of the author's talk in the conference "Algebraic Geometry in East Asia 2016" held at the University of Tokyo in January 2016. We give a survey on a series of papers of the author and his collaborators Daniel Pomerleano and Kazushi Ueda where we show how Strominger-Yau-Zaslow (SYZ) transforms can be applied to understand the geometry of Kontsevich's homological mirror symmetry (HMS) conjecture for certain local Calabi-Yau manifolds.

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Kwokwai Chan. 2016-12-21. Homological mirror symmetry for local Calabi-Yau manifolds via SYZ. https://doi.org/10.11650/tjm%2F7901

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