Homological Mirror Symmetry for Local Calabi-Yau Manifolds via SYZ

被引：0

作者：

Chan, Kwokwai ^{[1
]}

机构：

[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2017年 / 21卷 / 03期

关键词：

SYZ conjecture; Homological mirror symmetry; Toric Calabi-Yau manifold; Quantum correction; LOGARITHMIC DEGENERATION DATA; TORUS FIBRATIONS;

D O I：

10.11650/tjm/7901

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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 the series of papers [ 16, 23-25] where the author and his collaborators Daniel Pomerleano and Kazushi Ueda 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.

引用

页码：505 / 529

页数：25

共 12 条

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