{ "id": "math/0603414", "version": "v2", "published": "2006-03-16T23:15:43.000Z", "updated": "2006-03-20T20:01:15.000Z", "title": "On the Geometry of Moduli Space of Polarized Calabi-Yau manifolds", "authors": [ "Michael Douglas", "Zhiqin Lu" ], "journal": "RIMS Kokyuroku 1487, 2006", "categories": [ "math.DG", "hep-th", "math-ph", "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.", "revisions": [ { "version": "v2", "updated": "2006-03-20T20:01:15.000Z" } ], "analyses": { "keywords": [ "polarized calabi-yau manifolds", "moduli space", "weil-petersson metric", "special cases", "rational numbers" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 712934, "adsabs": "2006math......3414D" } } }