Analytic torsion for Calabi-Yau threefolds
Fang, Hao ; Lu, Zhiqin ; Yoshikawa, Ken-Ichi
J. Differential Geom., Tome 78 (2008) no. 1, p. 175-259 / Harvested from Project Euclid
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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.
Publié le : 2008-10-15
Classification:  
@article{1221066631,
     author = {Fang, Hao and Lu, Zhiqin and Yoshikawa, Ken-Ichi},
     title = {Analytic torsion for Calabi-Yau threefolds},
     journal = {J. Differential Geom.},
     volume = {78},
     number = {1},
     year = {2008},
     pages = { 175-259},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1221066631}
}

Fang, Hao; Lu, Zhiqin; Yoshikawa, Ken-Ichi. Analytic torsion for Calabi-Yau threefolds. J. Differential Geom., Tome 78 (2008) no. 1, pp.  175-259. http://gdmltest.u-ga.fr/item/1221066631/