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
收藏
页数：17
相关论文
共 50 条
  • [21] THEORY OF YANG-MILLS FIELDS
    POPOV, DA
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 1975, 24 (03) : 879 - 885
  • [22] Galilean Yang-Mills theory
    Bagchi, Arjun
    Basu, Rudranil
    Kakkar, Ashish
    Mehra, Aditya
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2016, (04):
  • [23] Emergent Yang-Mills theory
    Robert de Mello Koch
    Jia-Hui Huang
    Minkyoo Kim
    Hendrik J.R. Van Zyl
    [J]. Journal of High Energy Physics, 2020
  • [24] Carrollian Yang-Mills theory
    Islam, Minhajul
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2023, (05):
  • [25] Yang-Mills as a Liouville theory
    Stieberger, Stephan
    Taylor, Tomasz R.
    Zhu, Bin
    [J]. PHYSICS LETTERS B, 2023, 846
  • [26] Emergent Yang-Mills theory
    Koch, Robert de Mello
    Huang, Jia-Hui
    Kim, Minkyoo
    Van Zyl, Hendrik J. R.
    [J]. JOURNAL OF HIGH ENERGY PHYSICS, 2020, 2020 (10)
  • [27] Generalization of the Yang-Mills theory
    Savvidy, G.
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2016, 31 (01):
  • [28] Galilean Yang-Mills theory
    Arjun Bagchi
    Rudranil Basu
    Ashish Kakkar
    Aditya Mehra
    [J]. Journal of High Energy Physics, 2016
  • [29] GRAVITY AND YANG-MILLS THEORY
    Ananth, Sudarshan
    [J]. INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2010, 19 (14): : 2379 - 2384
  • [30] Yang-Mills theory in λ gauges
    Maas, Axel
    Mendes, Tereza
    Olejnik, Stefan
    [J]. PHYSICAL REVIEW D, 2011, 84 (11):
12345