Abstract
For each m≥0 we find an open (4m+9)-dimensional simply connected manifold with complete nonnegatively curved metrics whose souls are nondiffeomorphic, homeomorphic, and have codimension 2. We give a diffeomorphism classification of the pairs (N,soul) when N is the total space of a nontrivial complex line bundle over S7×CP2; up to diffeomorphism there are precisely three such pairs, distinguished by their nondiffeomorphic souls.
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