Elliptic genera of toric varieties and applications to mirror symmetry

被引：62
|
作者：
Borisov, LA [1 ]
Libgober, A
机构：
[1] Columbia Univ, Dept Math, New York, NY 10027 USA
[2] Univ Illinois, Dept Math, Chicago, IL 60607 USA
来源：
INVENTIONES MATHEMATICAE | 2000年 / 140卷 / 02期
关键词：
D O I：
10.1007/s002220000058
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The paper contains a proof that elliptic genus of a Calabi-Yau manifold is a Jacobi form, finds in which dimensions the elliptic genus is determined by the Hedge numbers and shows that elliptic genera of a Calabi-Yau hypersurface in a toric variety and its mirror coincide up to sign. The proof of the mirror property is based on the extension of elliptic genus to Calabi-Yau hypersurfaces in toric varieties with Gorenstein singularities.
引用
收藏
页码：453 / 485
页数：33
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