Weil-Petersson Volumes of the Moduli Spaces of CY Manifolds

Andrey Todorov

Weil-Petersson Volumes of the Moduli Spaces of CY Manifolds

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arxiv hep-th/0408033 v8 pith:CJYEBSGU submitted 2004-08-04 hep-th math.AG

Andrey Todorov This is my paper · ORCID

classification hep-thmath.AG

keywords manifoldsmodulispacesvolumesweil-peterssonfinitemetricsnumbers

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In this paper it is proved that the volumes of the moduli spaces of polarized CY manifolds with respect to the Weil-Petersson metrics are finite and they are rational numbers.

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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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