Mathematical Research Letters
Volume 17 (2010)
Moduli of flat SU(3)-bundles over a Klein bottle
Pages: 843 – 849
In this short note, we compute the Betti numbers of the moduli stack of flat $SU(3)$-bundles over a Klein bottle. We also handle the general compact group case over $\R P^2$. In all cases the cohomology is found to be equivariantly formal, supporting a conjecture from the author’s doctoral thesis. Our results also verify conjectural formulas obtained by Ho-Liu using Yang-Mills Morse theory.