Mathematics – Symplectic Geometry
Scientific paper
2009-01-12
Mathematical Research Letters 17.5 (2010) 843-849
Mathematics
Symplectic Geometry
7 pages, made a few referee recommended edits, filled a minor gap in a proof
Scientific paper
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^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.
Baird Thomas
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