On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds
Michael Douglas, Zhiqin Lu
Abstract
In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite. In some special cases, they are even rational numbers.
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