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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
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
MENG Ling-Xian , YANG Fu-Zhong . Modular forms on moduli space of compact Calabi-Yau manifolds[J]. Journal of University of Chinese Academy of Sciences, 2011 , 28(6) : 722 -727 . DOI: 10.7523/j.issn.2095-6134.2011.6.003
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