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Abstract: In this short note, we compute the Betti numbers of the moduli stack of flatSU3-bundles over a Klein bottle. We also handle the general compact groupcase over RP^2. In all cases the cohomology is found to be equivariantlyformal, supporting a conjecture from the author-s doctoral thesis. Our resultsalso verify conjectural formulas obtained by Ho-Liu using Yang-Mills Morsetheory.



Author: Thomas Baird

Source: https://arxiv.org/



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