Analytic torsion for calabi-yau threefolds

Hao Fang University of Iowa Zhiqin Lu University of California Irvine Ken-Ichi Yoshikawa University of Tokyo

Differential Geometry mathscidoc:1609.10080

Journal of Differential Geometry, 80, (2), 175-259, 2008
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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@inproceedings{hao2008analytic,
  title={ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS},
  author={Hao Fang, Zhiqin Lu, and Ken-Ichi Yoshikawa},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135224311767737},
  booktitle={Journal of Differential Geometry},
  volume={80},
  number={2},
  pages={175-259},
  year={2008},
}
Hao Fang, Zhiqin Lu, and Ken-Ichi Yoshikawa. ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS. 2008. Vol. 80. In Journal of Differential Geometry. pp.175-259. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160909135224311767737.
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