与旗复形相关的矩角复形的环路空间分解
代数拓扑
2024-02-20 v3
摘要
我们证明，与旗复形 -骨架相关的矩角复形的环路空间属于类 ，该类空间同伦等价于球面与单连通球面上环路的有穷型乘积。为此，我们证明了一个一般性结论：类 在收缩核下封闭。
引用
@article{arxiv.2306.12814,
title = {Loop space decompositions of moment-angle complexes associated to flag complexes},
author = {Lewis Stanton},
journal= {arXiv preprint arXiv:2306.12814},
year = {2024}
}
备注
24 pages, Various changes in response to referee comments, including the filling of a gap in Section 3. Accepted version of manuscript to appear in The Quarterly Journal of Mathematics