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math.DG2009★ 15 cited
Gauss-Bonnet-Chern theorem on moduli space
Zhiqin Lu, Michael R. Douglas
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 re…
math.DG2006★ 9 cited
On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds
Michael Douglas, Zhiqin Lu
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-Peter…