Antiperfection of Yang-Mills Morse theory over a nonorientable surface
arXiv:0902.4581
Abstract
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.
17 pages, added a section proving that antiperfection does not hold in for rank > 3