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Gauss-Bonnet-Chern theorem on moduli space
- Source :
- Math. Ann., 357, 2013, 469-511
- Publication Year :
- 2009
-
Abstract
- In this paper, we proved the Gauss-Bonnet-Chern theorem on moduli space of polarized Kahler manifolds. Using our results, we proved the rationality of the Chern-Weil forms (with respect to the Weil-Petersson metric) on CY moduli. As an application in physics, by the Ashok-Douglas theory, counting the number of flux compactifications of the type IIb string on a Calabi-Yau threefold is related to the integrations of various Chern-Weil forms. We proved that all these integrals are finite (and also rational).<br />Comment: Final version, Journal ref added
Details
- Database :
- arXiv
- Journal :
- Math. Ann., 357, 2013, 469-511
- Publication Type :
- Report
- Accession number :
- edsarx.0902.3839
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s00208-013-0907-4