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arxiv: math/0510021 · v1 · pith:BLXSR6URnew · submitted 2005-10-02 · 🧮 math.DG · hep-th

On the Weil-Petersson volume and the first Chern Class of the moduli space of Calabi-Yau manifolds

classification 🧮 math.DG hep-th
keywords weil-peterssonvolumecalabi-yaumoduliprovedrationalchernclass
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In this paper, we proved that the Weil-Petersson volume of Calabi-Yau moduli is a rational number. We also proved that the integrations of the invariants of the Ricci curvature of the Weil-Petersson metric with respect to the Weil-Petersson volume form are all rational numbers.

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