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On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds

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arxiv math/0603414 v2 pith:UTIMTWPE submitted 2006-03-16 math.DG hep-thmath-phmath.MP

Michael Douglas , Zhiqin Lu This is my paper · ORCID
classification math.DGhep-thmath-phmath.MP
keywords calabi-yaumanifoldsmodulipolarizedspacecaseschernclasses
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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.

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Cited by 3 Pith papers

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  1. Finiteness for self-dual classes in integral variations of Hodge structure

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    Generalizes the Cattani-Deligne-Kaplan finiteness theorem from Hodge classes to self-dual classes via definability of period mappings in the o-minimal structure R_an,exp.

  2. Solving inverse problems of Type IIB flux vacua with conditional generative models

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  3. Deep observations of the Type IIB flux landscape

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    An enumeration algorithm for Type IIB flux vacua yields millions of explicit vacua in a two-modulus Calabi-Yau, exposing deviations from statistical predictions and a vacuum with |W0| about 5.5 x 10^-5.

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