Gauss-Bonnet-Chern theorem on moduli space
Differential Geometry
2014-03-19 v2 High Energy Physics - Theory
Algebraic Geometry
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).
Cite
@article{arxiv.0902.3839,
title = {Gauss-Bonnet-Chern theorem on moduli space},
author = {Zhiqin Lu and Michael R. Douglas},
journal= {arXiv preprint arXiv:0902.3839},
year = {2014}
}
Comments
Final version, Journal ref added