On the Weil-Petersson Geometry of Calabi-Yau Moduli

Abstract

Let M be the moduli space of polarized Calabi-Yau manifolds. Let ω be the Weil-Petersson metric on M. Let f be an invariant polynomial of Hom (T M, T M). Let Θ be the curvature tensor of ω. Among the other results, we proved that, for any non-negative integer l, M f (Θ) ∧ ω l is finite and is a rational number. The result generalized the result of [1]. We… (More)

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