高维流形的连通和分解
几何拓扑
2021-05-28 v2
摘要
经典的Kneser-Milnor定理指出，每个闭合的有向连通三维流形都允许唯一的连通和分解，分解为不能再进一步分解的流形。我们讨论了这种分解在更高维度中存在的程度，并证明了在许多情况下，唯一性在更高维度中失效。
关键词
引用
@article{arxiv.1909.02628,
title = {Connected sum decompositions of high-dimensional manifolds},
author = {Imre Bokor and Diarmuid Crowley and Stefan Friedl and Fabian Hebestreit and Daniel Kasprowski and Markus Land and Johnny Nicholson},
journal= {arXiv preprint arXiv:1909.02628},
year = {2021}
}
备注
25 pages, fixed several minor mistakes, final version