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Correction for the paper "$S^3$-bundles and exotic actions"
Bulletin de la Société Mathématique de France
In [R] explicit representatives for S 3 -principal bundles over S 7 are constructed, based on these constructions explicit free S 3 -actions on the total spaces are described, with quotients exotic 7-spheres. To describe these actions a classification formula for the bundles is used. This formula is not correct. In Theorem 1 below, we correct the classification formula and in Theorem 2 we exhibit the correct indices of the exotic 7-spheres that occur as quotients of the free S 3 -actionsdoi:10.24033/bsmf.2407 fatcat:vjzq5lc5jjhnlhoklrvjzlg75e