A Natural Hermitian Line Bundle on the Moduli Space of Semistable Representations of a Quiver

被引：1

作者：

Das, Pradeep ^{[1
]}

机构：

[1] HBNI, Harish Chandra Res Inst, Chhatnag Rd, Allahabad 211019, Uttar Pradesh, India

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2020年 / 51卷 / 03期

关键词：

Representations of quivers; moduli spaces; moment maps; Hermitian line bundles; MULTIPLICITIES;

D O I：

10.1007/s13226-020-0446-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper describes the construction of a natural Hermitian holomorphic line bundle on the stratified moduli space of complex representations of a finite quiver, which are semistable with respect to a fixed rational weight and have a fixed type. It is shown that the curvature of this Hermitian line bundle on each stratum of the moduli space is essentially the Kahler form of that stratum.

引用

页码：1003 / 1021

页数：19

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