Odd primary homotopy types of the gauge groups of exceptional Lie groups

Hasui, Sho; Kishimoto, Daisuke; So, Tseleung; Theriault, Stephen

doi:10.1090/proc/14333

Odd primary homotopy types of the gauge groups of exceptional Lie groups
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by Sho Hasui, Daisuke Kishimoto, Tseleung So and Stephen Theriault

Proc. Amer. Math. Soc. 147 (2019), 1751-1762

DOI: https://doi.org/10.1090/proc/14333

Published electronically: January 8, 2019

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Abstract:

The $p$-local homotopy types of gauge groups of principal $G$-bundles over $S^4$ are classified when $G$ is a compact connected exceptional Lie group without $p$-torsion in homology except for $(G,p)=(\mathrm {E}_7,5)$.

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