English

On 1-connected 8-manifolds with the same homology as $S^3\times S^5$

Geometric Topology 2018-10-22 v1 Algebraic Topology

Abstract

In this article, we classify 1-connected 8-dimensional Poincar\'e complexes, topological manifolds and smooth manifolds with the same homology as S3×S5S^3\times S^5. Some questions of Escher-Ziller are also discussed.

Keywords

Cite

@article{arxiv.1810.08478,
  title  = {On 1-connected 8-manifolds with the same homology as $S^3\times S^5$},
  author = {Xueqi Wang},
  journal= {arXiv preprint arXiv:1810.08478},
  year   = {2018}
}

Comments

16 pages