收稿日期: 2010-04-23
修回日期: 2010-09-02
网络出版日期: 2011-11-15
基金资助
Supported by the NSFC(11075204), the President Fund of GUCAS(085102BN00) and GUCAS(Y05101CY00)
Modular forms on moduli space of compact Calabi-Yau manifolds
Received date: 2010-04-23
Revised date: 2010-09-02
Online published: 2011-11-15
孟令显 , 杨富中 . 紧致Calabi-Yau流形模空间上的模形式[J]. 中国科学院大学学报, 2011 , 28(6) : 722 -727 . DOI: 10.7523/j.issn.2095-6134.2011.6.003
We try to present modular form theory defined on the space formed by the entries of period matrices whose imaginary parts have definite signature on compact Calabi-Yau manifolds for the subgroup G0 of Sp(2n,Z). Then some expressions similar to Siegel modular forms are given on the space of period matrices with one negative inertia index.
Key words： topological string; moduli space; modular forms
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