稳定微分同胚流形与 l_{2q+1}(Z[π])
几何拓扑
2008-10-23 v2
摘要
幺半群 l_{2q+1}(Z[π]) 在稳定微分同胚的 2q 维流形之间的某些配边中检测 s-配边，并推广了 Wall 简单手术障碍群 L_{2q+1}^s(Z[π]) ⊂ l_{2q+1}(Z[π])。本文给出了完全描述 l_{2q+1}(Z[π]) 作为集合的正合序列，并利用这些序列计算了其 Grothendieck 群。作为推论，我们得到了具有多循环有限基本群的稳定微分同胚流形的消去结果。
引用
@article{arxiv.0808.2008,
title = {Stably diffeomorphic manifolds and l_{2q+1}(Z[\pi])},
author = {Diarmuid Crowley and Jörg Sixt},
journal= {arXiv preprint arXiv:0808.2008},
year = {2008}
}
备注
v2: 46 pages: corrected the definition of [v(\bar \nu)] in section 2, altered the historical Remark 1.2, added one reference, cut inessential details and corrected some typos