环面拓扑中的高阶Whitehead积
代数拓扑
2015-05-22 v2
摘要
本文研究了一类名为缺失面复形的复形K的矩角复形Z_k与Davis-Januskiewicz空间DJ(K)之间的关系。若K有n个顶点，我们考虑同伦纤维化序列Z_k --> DJ(K) --> M，其中M是n个无限复射影空间的乘积。我们观察到，对于这样的K，Z_k同伦等价于一个球面楔和，并进一步证明在此等价下，映射Z_k --> DJ(K)同伦于高阶Whitehead积与迭代Whitehead积的楔和。
引用
@article{arxiv.1011.2133,
title = {Higher Whitehead products in toric topology},
author = {Jelena Grbic and Stephen Theriault},
journal= {arXiv preprint arXiv:1011.2133},
year = {2015}
}
备注
This version is as of March 2014. Several corrections made from the first submission