M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.
Lecture notes for felix klein lectures on n=2 gauge th eories
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Anomaly Matching in 6d $\mathcal{N}=(2,0)$ SCFTs from M5 Cobordism
M5 bordism classifies the invertible phases of 6d (2,0) anomaly theories, and the Hopf-Wess-Zumino term is the phase that transgresses to the second Pontryagin class.