Antiperfection of Yang-Mills Morse theory over a nonorientable surface

Details Antiperfection of Yang-Mills Morse theory over a nonorientable surface Antiperfection of Yang-Mills Morse theory over a nonorientable surface

2009-02-26

arxiv.org/abs/0902.4581v3

Mathematics

Symplectic Geometry

17 pages, added a section proving that antiperfection does not hold in for rank > 3

Scientific paper

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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