Journal article
ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS
Journal of differential geometry, Vol.80(2), pp.175-259
10/01/2008
DOI: 10.4310/jdg/1221066631
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.
Details
- Title: Subtitle
- ANALYTIC TORSION FOR CALABI-YAU THREEFOLDS
- Creators
- Hao Fang - Univ Iowa, Dept Math, Iowa City, IA 52245 USAZhiqin Lu - Univ Calif Irvine, Dept Math, Irvine, CA 92697 USAKen-Ichi Yoshikawa - Univ Tokyo, Grad Sch Math Sci, Tokyo 1538914, Japan
- Resource Type
- Journal article
- Publication Details
- Journal of differential geometry, Vol.80(2), pp.175-259
- DOI
- 10.4310/jdg/1221066631
- ISSN
- 0022-040X
- eISSN
- 1945-743X
- Publisher
- INT PRESS BOSTON, INC
- Number of pages
- 85
- Grant note
- New York University Research Challenge Fund Program 19340016 / JSPS; Ministry of Education, Culture, Sports, Science and Technology, Japan (MEXT); Japan Society for the Promotion of Science Alfred P. Sloan Research Fellowship; Alfred P. Sloan Foundation DMS-0347033 / NSF; National Science Foundation (NSF)
- Language
- English
- Date published
- 10/01/2008
- Academic Unit
- Mathematics
- Record Identifier
- 9984241059102771
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