RELATIVE GROMOV-WITTEN INVARIANTS AND THE ENUMERATIVE MEANING OF MIRROR MAPS FOR TORIC CALABI-YAU ORBIFOLDS

被引：2
|
作者：
You, Fenglong [1 ]
机构：
[1] Univ Alberta, Dept Math & Stat Sci, 632 CAB, Edmonton, AB T6G 2G1, Canada
来源：
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2020年 / 373卷 / 11期
基金：
加拿大自然科学与工程研究理事会;
关键词：
COHOMOLOGY; SYMMETRY; LEFSCHETZ; RING;
D O I：
10.1090/tran/8196
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We provide an enumerative meaning of the mirror maps for toric Calabi-Yau orbifolds in terms of relative Gromov-Witten invariants of the toric compactifications. As a consequence, we obtain an equality between relative Gromov-Witten invariants and open Gromov-Witten invariants. Therefore, the instanton corrected mirrors for toric Calabi-Yau orbifolds can be constructed using relative Gromov-Witten invariants.
引用
收藏
页码：8259 / 8288
页数：30
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