On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds

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.

References in corpus (2)

• The String Landscape and the Swampland
• Analytic torsion for Calabi-Yau threefolds

Cited by in corpus (3)

• A Finite Landscape?
• Finiteness for self-dual classes in integral variations of Hodge structure
• On the Weil-Petersson Geometry of Calabi-Yau Moduli