On 1-connected 8-manifolds with the same homology as S³× S⁵

2018/10/19 by Xueqi Wang, Wang, Xueqi
Mathematics · #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Geometric and Algebraic Topology #math.AT #math.GT

paper · pdf · doi:10.48550/arxiv.1810.08478

16 pages

arxiv created 2018/10/19 · arxiv updated 2018/10/22

Abstract

In this article, we classify 1-connected 8-dimensional Poincaré complexes, topological manifolds and smooth manifolds with the same homology as S³× S⁵. Some questions of Escher-Ziller are also discussed.

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