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

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arxiv math/0510021 v1 pith:BLXSR6UR submitted 2005-10-02 math.DG hep-th

Zhiqin Lu , Xiaofeng Sun This is my paper · ORCID
classification math.DGhep-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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  1. Finiteness and the Emergence of Dualities

    hep-th 2024-12 conditional novelty 6.0 of 10

    Finiteness of quantum gravity amplitudes implies moduli spaces have at most Euclidean volume growth, which in turn implies duality groups act semisimply on charge lattices.

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