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

Published 28 Mar 2018 in math.AT | (1803.10401v1)

Abstract: The $p$-local homotopy types of gauge groups of principal $G$-bundles over $S4$ 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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