L2-Cohomology of hyperkahler quotients

被引：40

作者：

Hitchin, N ^{[1
]}

机构：

[1] Math Inst, Oxford OX1 3LB, England

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 211卷 / 01期

关键词：

D O I：

10.1007/s002200050806

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Using an argument of Jest and Zuo, we give a criterion which implies that the L-2 harmonic forms on a complete noncompact hyperkahler manifold lie in the middle dimension and are invariant under the isometry group. This is applied to various examples, and in particular gives a verification of some of the predictions of Sen on monopole moduli spaces.

引用

页码：153 / 165

页数：13

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