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2 votes
0 answers
74 views

Is it likely that gradient flow trajectories of a $G$-invariant function pass through degenerate points?

This question may be posed somewhat vaguely, but I'm interested to actually get an idea of what to expect, so I try to not target it at a specific result. Assume that $G$ is a compact Lie group, ...
Whatsumitzu's user avatar
13 votes
5 answers
2k views

Yang-Mills and Chern-Simons functionals as Morse functions

Can the Yang-Mills or Chern-Simons action functionals be considered as [possibly perfect] Morse functions? I assume we would be in an equivariant scenario due to considering the configuration spaces ...
Chris Gerig's user avatar
  • 17.5k