English

On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds

Differential Geometry 2007-05-23 v2 High Energy Physics - Theory Mathematical Physics math.MP

Abstract

In this paper, we study the Chern classes on the moduli space of polarized Calabi-Yau manifolds. We prove that the integrations of the invariants of the curvature of the Weil-Petersson metric are finite. In some special cases, they are even rational numbers.

Keywords

Cite

@article{arxiv.math/0603414,
  title  = {On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds},
  author = {Michael Douglas and Zhiqin Lu},
  journal= {arXiv preprint arXiv:math/0603414},
  year   = {2007}
}