Michael Douglas, Zhiqin Lu
Published 2006-03-16, updated 2006-03-20Version 2
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.
Journal: RIMS Kokyuroku 1487, 2006
Gauss-Bonnet-Chern theorem on moduli space
Asymptotic behaviour and the moduli space of doubly-periodic instantons
Moduli spaces for finite-order jets of Riemannian metrics
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