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Homological mirror symmetry for local Calabi-Yau manifolds via SYZ (1607.07127v2)
Published 25 Jul 2016 in math.SG, math.AG, and math.DG
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.