Antiperfection of Yang-Mills Morse theory over a nonorientable surface

被引：0

作者：

Baird, Thomas John ^{[1
]}

机构：

[1] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Moduli spaces of flat connections; Morse theory; gauge groups; equivariant cohomology; MODULI SPACES;

D O I：

10.1142/S0129167X15500871

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Morse theory of the Yang-Mills functional to compute the Betti numbers of the moduli stack of flat U(3)-bundles over a compact nonorientable surface. Our result establishes the antiperfection conjecture of Ho-Liu, and establishes the equivariant formality conjecture of the author for U(3)-bundles.

引用

页数：17

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