Abstract
In this article, we classify 1-connected 8-dimensional Poincaré complexes, topological manifolds and smooth manifolds whose integral homology groups are isomorphic to those of S3 × S5. A topic related to a paper of Escher and Ziller is also discussed.
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Acknowledgements
The author would like to thank Prof. Haibao Duan for the guidance of this topic. The author would also like to thank Jianzhong Pan and Yang Su for helpful discussion.
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Wang, X.Q. On 1-connected 8-manifolds with the Same Homology as S3 × S5. Acta. Math. Sin.-English Ser. 37, 941–956 (2021). https://doi.org/10.1007/s10114-021-0194-z
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DOI: https://doi.org/10.1007/s10114-021-0194-z