SU(2)-bundles over highly connected 8-manifolds
Abstract
In this paper, we analyze the possible homotopy types of the total space of a principal SU(2)-bundle over a 3-connected 8-dimensional Poincar\'e duality complex. Along the way, we also classify the 3-connected 11-dimensional complexes E formed from a wedge of S4 and S7 by attaching a 11-cell.
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