On the cohomology of hyperkahler quotients

被引：5

作者：

Jeffrey, Lisa ^{[1
]}

Kiem, Young-Hoon ^{[2
]}

Kirwan, Frances ^{[3
]}

机构：

[1] Univ Toronto, Dept Math, Toronto, ON M5S 2E4, Canada

[2] Seoul Natl Univ, Dept Math, Seoul 151747, South Korea

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

来源：

TRANSFORMATION GROUPS | 2009年 / 14卷 / 04期

基金：

英国工程与自然科学研究理事会; 加拿大自然科学与工程研究理事会;

关键词：

INSTANTONS; VARIETIES; MANIFOLDS; SPACES;

D O I：

10.1007/s00031-009-9065-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper gives a partial desingularization construction for hyperkahler quotients and a criterion for the surjectivity of an analogue of the Kirwan map to the cohomology of hyperkahler quotients. This criterion is applied to some linear actions on hyperkahler vector spaces.

引用

页码：801 / 823

页数：23

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