Morse theory and the yang-mills equations

1980 ◽  
pp. 269-275
Author(s):  
Raoul Bott
Keyword(s):  
Morse Theory ◽  
Yang Mills

scholarly journals Morse theory and non-minimal solutions to the Yang-Mills equations

1997 ◽  
Vol 21 (3) ◽  
pp. 567-593
Author(s):  
Hong-Yu Wang
Keyword(s):  
Morse Theory ◽  
Yang Mills

scholarly journals Antiperfection of Yang–Mills Morse theory over a nonorientable surface

2015 ◽  
Vol 26 (11) ◽  
pp. 1550087
Author(s):  
Thomas John Baird
Keyword(s):  
Morse Theory ◽  
Betti Numbers ◽  
Nonorientable Surface ◽  
Yang Mills ◽  
Moduli Stack

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.

scholarly journals Morse theory, Higgs fields, and Yang–Mills–Higgs functionals

2012 ◽  
Vol 11 (1) ◽  
pp. 1-41 ◽  
Author(s):  
Steven B. Bradlow ◽  
Graeme Wilkin
Keyword(s):  
Morse Theory ◽  
Yang Mills ◽  
Higgs Fields

A framework for Morse theory for the Yang-Mills functional

1988 ◽  
Vol 94 (2) ◽  
pp. 327-402 ◽  
Author(s):  
Clifford Henry Taubes
Keyword(s):  
Morse Theory ◽  
Yang Mills

A Morse theory for equivariant Yang-Mills

1992 ◽  
Vol 66 (2) ◽  
pp. 337-356 ◽  
Author(s):  
Thomas H. Parker
Keyword(s):  
Morse Theory ◽  
Yang Mills

The Yang-Mills equations over Riemann surfaces

1983 ◽  
Vol 308 (1505) ◽  
pp. 523-615 ◽  
Keyword(s):  
Riemann Surface ◽  
Gauge Symmetry ◽  
Moduli Space ◽  
Morse Theory ◽  
Riemann Surfaces ◽  
Point Of View ◽  
Yang Mills ◽  
Critical Sets

The Yang-Mills functional over a Riemann surface is studied from the point of view of Morse theory. The main result is that this is a ‘perfect' functional provided due account is taken of its gauge symmetry. This enables topological conclusions to be drawn about the critical sets and leads eventually to information about the moduli space of algebraic bundles over the Riemann surface. This in turn depends on the interplay between the holomorphic and unitary structures, which is analysed in detail.

THE VANISHING β-FUNCTION OF N=4 SUPERSYMMETRIC YANG-MILLS THEORY

1982 ◽  
Vol 43 (C3) ◽  
pp. C3-326-C3-327
Author(s):  
K. S. Stelle
Keyword(s):  
Yang Mills ◽  
Β Function
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