1 2 Ja n 20 09 Moduli of flat SU ( 3 )-bundles over a Klein bottle

  title={1 2 Ja n 20 09 Moduli of flat SU ( 3 )-bundles over a Klein bottle},
  author={Thomas John Baird},
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 RP . 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. 

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