<i>SU</i>(2)-bundles over highly connected 8-manifolds
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 S 4 ’s and S 7 ’s by attaching a 11-cell.
Authors
- Amit Ghosh (ORCID: https://orcid.org/0000-0002-5067-9213)
- Subhankar Sau (ORCID: https://orcid.org/0000-0003-2879-9494)
- Samik Basu (ORCID: https://orcid.org/0000-0002-3757-2227)
Institutions
- Indian Statistical Institute (IN)
Publication Details
- Journal
- Proceedings of the Royal Society of Edinburgh Section A Mathematics
- Published
- 2025-02-18
- DOI
- https://doi.org/10.1017/prm.2025.12
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00