The suspension of a 4-manifold and its applications
Algebraic Topology
2022-11-04 v3
Abstract
Let be a smooth, orientable, closed, connected -manifold and suppose that is finitely generated and has no -torsion. We give a homotopy decomposition of the suspension of in terms of spheres, Moore spaces and . This is used to calculate any reduced generalized cohomology theory of as a group and to determine the homotopy types of certain current groups and gauge groups.
Keywords
Cite
@article{arxiv.1909.11129,
title = {The suspension of a 4-manifold and its applications},
author = {Tseleung So and Stephen Theriault},
journal= {arXiv preprint arXiv:1909.11129},
year = {2022}
}
Comments
26 pages; accepted by Israel Journal of Mathematics