%0 Journal Article
%T Codimension two souls and cancellation phenomena
%A Igor Belegradek
%A Slawomir Kwasik
%A Reinhard Schultz
%J Mathematics
%D 2009
%I arXiv
%X For each nonnegative integer we find an open (4m+9)-dimensional simply-connected manifold admitting complete nonnegatively curved metrics whose souls are non-diffeomorphic, homeomorphic, and have codimension 2. We give a diffeomorphism classification of the pairs (N, soul) when N is a nontrivial complex line bundle over the product of 7-sphere and complex projective plane: up to diffeomorphism there are precisely three such pairs, distinguished by their non-diffeomorphic souls.
%U http://arxiv.org/abs/0912.4874v4