Antiperfection of Yang-Mills Morse theory over a nonorientable surface
Symplectic Geometry
2009-06-15 v3 Differential Geometry
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.
Keywords
Cite
@article{arxiv.0902.4581,
title = {Antiperfection of Yang-Mills Morse theory over a nonorientable surface},
author = {Thomas Baird},
journal= {arXiv preprint arXiv:0902.4581},
year = {2009}
}
Comments
17 pages, added a section proving that antiperfection does not hold in for rank > 3