String cohomology of Calabi-Yau hypersurfaces via mirror symmetry

被引：28

作者：

Borisov, LA ^{[1
]}

Mavlyutov, AR

机构：

[1] Columbia Univ, Dept Math, New York, NY 10027 USA

[2] Max Planck Inst Math, D-53111 Bonn, Germany

来源：

ADVANCES IN MATHEMATICS | 2003年 / 180卷 / 01期

关键词：

toric varieties; intersection cohomology; mirror symmetry;

D O I：

10.1016/S0001-8708(03)00007-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We propose a construction of string cohomology spaces for Calabi-Yau hypersurfaces that arise in Batyrev's mirror symmetry construction. The spaces are defined explicitly in terms of the corresponding reflexive polyhedra in a mirror-symmetric manner. We draw connections with other approaches to the string cohomology, in particular with the work of Chen and Ruan. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：355 / 390

页数：36

共 20 条

[1] Torification and factorization of birational maps [J].