The space of commuting n-tuples in SU(2)
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commutingn-tuplesspacecohomologycomputedenotedeterminegroups
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Let Y = Hom(Z^n, SU(2)) denote the space of commuting n-tuples in SU(2). We determine the homotopy type of the suspension of Y and compute the integral cohomology groups of Y for all positive integers n.
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