The homotopy types of $$mathrm{SO}(4)$$-gauge groups

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  • The homotopy types of $$\mathrm{SO}(4)$$-gauge groups

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The homotopy types of gauge groups of principal SO(4)-bundles over S⁴ are classified p-locally for every prime p, and partial results are obtained integrally. The method generalizes to deal with any quotient of the form (S³)n/Z where Z is a subgroup generated by (−1, …, −1).

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