Classification of the congruence classes of $\mathbf{A}_n^5(n\geq 6)$ with 2-torsion free homology

Zhongjian Zhu; Jianzhong Pan

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arXiv · 1810.08882

Classification of the congruence classes of $\mathbf{A}_n^5(n\geq 6)$ with 2-torsion free homology

Zhongjian Zhu·Jianzhong Pan

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Abstract

In this paper, we classify the congruence classes of $\mathbf{F}^5_{n(2)}$-polyhedra, i.e. $(n-1)$-connected, at most $(n+5)$-dimensional polyhedra with 2-torsion free homology. The proof relies on the matrix problem technique which was developed in the classification of representations of algebras and applied to homotopy theory by Baues and Drozd.

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Zhongjian Zhu, Jianzhong Pan. 2018-10-21. Classification of the congruence classes of $\mathbf{A}_n^5(n\geq 6)$ with 2-torsion free homology. https://arxiv.org/abs/1810.08882

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