Analytic torsion for Calabi-Yau threefolds

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After Bershadsky-Cecotti-Ooguri-Vafa, we introduce an invariant of Calabi-Yau threefolds, which we call the BCOV invariant and which we obtain using analytic torsion. We give an explicit formula for the BCOV invariant as a function on the compactified moduli space, when it is isomorphic to a projective line. As a corollary, we prove the formula for the BCOV invariant of quintic mirror threefolds conjectured by Bershadsky-Cecotti-Ooguri-Vafa.
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Differential Geometry, Algebraic Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/172719

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601411
 http://arxiv.org/abs/math/0601411
 Jour. Diff. Geom., 80(2), pp. 175-259, 2008

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arXiv