Lagrangian Torus Fibrations and Homological Mirror Symmetry for the Conifold

被引:18
作者
Chan, Kwokwai [1 ]
Pomerleano, Daniel [2 ]
Ueda, Kazushi [3 ]
机构
[1] Chinese Univ Hong Kong, Dept Math, Shatin, Hong Kong, Peoples R China
[2] Univ Tokyo, Kavli Inst Phys & Math Universe, Kashiwa, Chiba 2778583, Japan
[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
关键词
BRAID GROUP-ACTIONS; LEFSCHETZ FIBRATIONS; FLOER COHOMOLOGY; TORIC MANIFOLDS; FIELD-THEORIES; T-DUALITY; CATEGORIES; SINGULARITIES; GENERATORS; ALGEBRAS;
D O I
10.1007/s00220-015-2477-7
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss homological mirror symmetry for the conifold from the point of view of the Strominger-Yau-Zaslow conjecture.
引用
收藏
页码:135 / 178
页数:44
相关论文
共 50 条
  • [31] Elliptic quintics on cubic fourfolds, O'Grady 10, and Lagrangian fibrations
    Li, Chunyi
    Pertusi, Laura
    Zhao, Xiaolei
    ADVANCES IN MATHEMATICS, 2022, 408
  • [32] Mirror symmetry and generalized complex manifolds - Part II. Integrability and the transform for torus bundles
    Ben-Bassat, Oren
    JOURNAL OF GEOMETRY AND PHYSICS, 2006, 56 (07) : 1096 - 1115
  • [33] Cone-decompositions of Lagrangian cobordisms in Lefschetz fibrations
    Biran, Paul
    Cornea, Octav
    SELECTA MATHEMATICA-NEW SERIES, 2017, 23 (04): : 2635 - 2704
  • [34] LARGE QUANTUM CORRECTIONS IN MIRROR SYMMETRY FOR A 2-DIMENSIONAL LAGRANGIAN SUBMANIFOLD WITH AN ELLIPTIC UMBILIC
    Marelli, Giovanni
    PACIFIC JOURNAL OF MATHEMATICS, 2010, 247 (02) : 455 - 476
  • [35] MIRROR SYMMETRY FOR HONEYCOMBS
    Gammage, Benjamin
    Nadler, David
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2020, 373 (01) : 71 - 107
  • [36] Homological mirror functors via Maurer-Cartan formalism
    Cho, Cheol-Hyun
    STRING-MATH 2015, 2017, 96 : 83 - 100
  • [37] Toric systems and mirror symmetry
    Bocklandt, Raf
    COMPOSITIO MATHEMATICA, 2013, 149 (11) : 1839 - 1855
  • [38] Quantization via mirror symmetry
    Gukov, Sergei
    JAPANESE JOURNAL OF MATHEMATICS, 2011, 6 (02): : 65 - 119
  • [39] New Characterizations of the Clifford Torus as a Lagrangian Self-Shrinker
    Li, Haizhong
    Wang, Xianfeng
    JOURNAL OF GEOMETRIC ANALYSIS, 2017, 27 (02) : 1393 - 1412
  • [40] (0,2) Mirror Symmetry on Homogeneous Hopf Surfaces
    Alvarez-Consul, Luis
    de la Hera, Andoni de Arriba
    Garcia-Fernandez, Mario
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2024, 2024 (02) : 1211 - 1298