LARGE QUANTUM CORRECTIONS IN MIRROR SYMMETRY FOR A 2-DIMENSIONAL LAGRANGIAN SUBMANIFOLD WITH AN ELLIPTIC UMBILIC

被引：0
|
作者：
Marelli, Giovanni [1 ]
机构：
[1] Korea Inst Adv Study, Seoul 130722, South Korea
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2010年 / 247卷 / 02期
关键词：
mirror symmetry; quantum corrections; elliptic umbilic; Morse homology; FOURIER-TRANSFORM; MORSE-THEORY; REAL TORI; SINGULARITIES; BIFURCATIONS; SHEAVES;
D O I：
10.2140/pjm.2010.247.455
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given the Lagrangian fibration R-4 -> R-2 and a Lagrangian submanifold, exhibiting an elliptic umbilic and supporting a flat line bundle, we study in the context of mirror symmetry the corrections necessary to solve the monodromy of the holomorphic structure of the mirror bundle on the dual fibration. This is a preliminary step towards the understanding of quantum corrections in this specific case.
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页码：455 / 476
页数：22
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