AN EXPLICIT RICCI POTENTIAL FOR THE UNIVERSAL MODULI SPACE OF VECTOR BUNDLES

被引：0

作者：

Andersen, Jorgen Ellegaard ^{[1
]}

Poulsen, Niccolo Skovgard ^{[1
]}

机构：

[1] Aarhus Univ, Ctr Quantum Geometry Moduli Spaces, Ny Munkegade 118,Bldg 1530, DK-8000 Aarhus C, Denmark

来源：

ASIAN JOURNAL OF MATHEMATICS | 2019年 / 23卷 / 03期

基金：

新加坡国家研究基金会;

关键词：

Universal moduli spaces; Vector bundles; Ricci potential; Khler coordinates; HITCHINS CONNECTION; OPERATORS; THEOREM;

D O I：

10.4310/AJM.2019.v23.n3.a1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we modify our coordinate construction in [5] on the universal moduli space of pair consisting of a Riemann surfaces and a stable holomorphic bundles on the Riemann surface, so as to produce a new set of coordinates, which are in fact Kahler coordinates on this universal moduli space. Using our Kahler coordinates, we are able to give a functional determinant formula for the Ricci potential of the universal moduli space. As a corollary we compute the first Chern-class of the universal moduli space.

引用

页码：369 / 382

页数：14

共 16 条

[1] RIEMANNS MAPPING THEOREM FOR VARIABLE METRICS [J].