素数3处K(2)-局部球的模描述
代数拓扑
2007-05-23 v2
摘要
利用椭圆曲线的N次同源,我们构造了一个谱Q(N)。该谱由与tmf相关的谱构造而成。在p=3时,我们证明K(2)-局部球由Q(2)及其K(2)-局部Spanier-Whitehead对偶构造而成。这给出了Goerss、Henn、Mahowald和Rezk的一个分解的概念性重释。
引用
@article{arxiv.math/0507184,
title = {A modular description of the K(2)-local sphere at the prime 3},
author = {Mark Behrens},
journal= {arXiv preprint arXiv:math/0507184},
year = {2007}
}
备注
72 pages, 1 figure, to appear in Topology. Typos in Diagrams (2.11.2) and (2.11.3) fixed, and 2 lemmas added in Section 2.11 to prove that Diagram (2.11.4) exists