Analytic torsion for Calabi-Yau threefolds
Differential Geometry
2008-10-31 v2 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0601411,
title = {Analytic torsion for Calabi-Yau threefolds},
author = {Hao Fang and Zhiqin Lu and Ken-Ichi Yoshikawa},
journal= {arXiv preprint arXiv:math/0601411},
year = {2008}
}
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