Antiperfection of Yang-Mills Morse theory over a nonorientable surface
classification
🧮 math.SG
math.DG
keywords
antiperfectionconjecturemorsenonorientablesurfacetheoryyang-millsauthor
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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 provides evidence for the equivariant formality conjecture of the author.
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