Homology of gauge groups associated with special unitary groups

We study the homology of gauge groups associated with principal SU ( n ) bundles over the four-sphere. After computing the mod p homology of based gauge groups of SU ( n ) by combined use of the Serre spectral sequence and the Eilenberg–Moore spectral sequence, we compute the modp homology of gauge groups of SU ( n ) using the Serre spectral sequence for the evaluation fibration.