克莱因瓶上平坦SU(3)-丛的模
Moduli of flat SU(3)-bundles over a Klein bottle
摘要:
本文计算了克莱因瓶上平坦SU(3)-丛的模堆叠的贝蒂数。我们还处理了RP ^2上一般紧群的情形。在所有情况下的上同调被发现是equivariantly正式的,支持一个猜想,从作者的博士论文。我们的结果也验证了Ho-Liu利用Yang-Mills莫尔斯理论得到的结构公式。
英文摘要:
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.
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