SU (2)-bundles over highly connected 8-manifolds

Article Type

Research Article

Publication Title

Proceedings of the Royal Society of Edinburgh Section A Mathematics

Abstract

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

DOI

10.1017/prm.2025.12

Publication Date

1-1-2025

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