MORSE THEORY AND HYPERKAHLER KIRWAN SURJECTIVITY FOR HIGGS BUNDLES

被引：0

作者：

Daskalopoulos, Georgios ^{[1
]}

Weitsman, Jonathan ^{[2
]}

Wentworth, Richard A. ^{[3
]}

Wilkin, Graeme ^{[4
]}

机构：

[1] Brown Univ, Dept Math, Providence, RI 02912 USA

[2] Northeastern Univ, Dept Math, Boston, MA 02115 USA

[3] Univ Maryland, Dept Math, College Pk, MD 20742 USA

[4] Univ Colorado, Dept Math, Boulder, CO 80309 USA

来源：

JOURNAL OF DIFFERENTIAL GEOMETRY | 2011年 / 87卷 / 01期

基金：

美国国家科学基金会;

关键词：

RIEMANN SURFACE; SELF-DUALITY; SPACE; COHOMOLOGY; EQUATIONS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper uses Morse-theoretic techniques to compute the equivariant Betti numbers of the space of semistable rank two degree zero Higgs bundles over a compact Riemann surface, a method in the spirit of Atiyah and Bott's original approach for semistable holomorphic bundles. This leads to a natural proof that the hyperkahler Kirwan map is surjective for the non-fixed determinant case.

引用

页码：81 / 115

页数：35

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