Yang-Mills connections on nonorientable surfaces

被引：19

作者：

Ho, Nan-Kuo ^{[1
,2
]}

Liu, Chiu-Chu Melissa ^{[3
]}

机构：

[1] Natl Cheng Kung Univ, Dept Math, Tainan 701, Taiwan

[2] Natl Ctr Theoret Sci S, Tainan 701, Taiwan

[3] Columbia Univ, Dept Math, New York, NY 10027 USA

来源：

COMMUNICATIONS IN ANALYSIS AND GEOMETRY | 2008年 / 16卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

D O I：

10.4310/CAG.2008.v16.n3.a6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In [1], Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. We generalize their study to all closed, compact, connected, possibly nonorientable surfaces.

引用

页码：617 / 679

页数：63

共 50 条

[31] A proof of energy gap for Yang-Mills connections
Huang, Teng
[J]. COMPTES RENDUS MATHEMATIQUE, 2017, 355 (08) : 910 - 913
[32] Yang-Mills connections on conformally compact manifolds
Usula, Marco
[J]. LETTERS IN MATHEMATICAL PHYSICS, 2021, 111 (02)
[33] The generalized Neumann problem for Yang-Mills connections
Marini, A
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1999, 24 (3-4) : 665 - 681
[34] A note on singular Hermitian Yang-Mills connections
Li, Yang
[J]. MATHEMATICAL RESEARCH LETTERS, 2023, 30 (01) : 167 - 184
[35] A Yang-Mills inequality for compact surfaces
Sengupta, A
[J]. INFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS, 1998, 1 (01) : 1 - 16
[36] Invariant Yang-Mills connections with Weyl structure
Park, Joon-Sik
[J]. JOURNAL OF GEOMETRY AND PHYSICS, 2010, 60 (12) : 1950 - 1957
[37] Non-Hermitian Yang-Mills connections
Kaledin D.
Verbitsky M.
[J]. Selecta Mathematica, 1998, 4 (2) : 279 - 320
[38] GEOMETRY OF MINIMAL ENERGY YANG-MILLS CONNECTIONS
Stern, Mark
[J]. JOURNAL OF DIFFERENTIAL GEOMETRY, 2010, 86 (01) : 163 - 188
[39] Bubbling Phenomenon for Hermitian Yang-Mills Connections
Li, Yang
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (06) : 4657 - 4678
[40] Existence of connections with prescribed yang-mills currents
DeTurack, Dennis
Goldschmidt, Hubert
Talvacchia, Janet
[J]. Proceedings of Symposia in Pure Mathematics, 1993, 54 (01):

← 1 2 3 4 5 →