Suspension homotopy of $6$-manifolds
Algebraic Topology
2023-04-05 v1 Geometric Topology
Abstract
For a simply connected closed orientable manifold of dimension , we show its homotopy decomposition after double suspension. This allows us to determine its - and -groups easily. Moreover, for a special case we refine the decomposition to show the rigidity property of the manifold after double suspension.
Cite
@article{arxiv.2104.04994,
title = {Suspension homotopy of $6$-manifolds},
author = {Ruizhi Huang},
journal= {arXiv preprint arXiv:2104.04994},
year = {2023}
}
Comments
19 pages; comments are welcome