实Johnson-Wilson理论上的乘法结构
代数拓扑
2017-08-31 v2
摘要
我们证明实 Johnson-Wilson 理论 ER(n) 在同伦意义下是结合且交换的环谱(直至幽灵映射)。我们进一步表明,ER(n) 在(可能非紧的)空间范畴上表示一个结合且交换的乘法上同调理论。
引用
@article{arxiv.1701.00255,
title = {Multiplicative structure on Real Johnson-Wilson theory},
author = {Nitu Kitchloo and Vitaly Lorman and W. Stephen Wilson},
journal= {arXiv preprint arXiv:1701.00255},
year = {2017}
}
备注
16 pages, version 2. Added a new section revisiting $ER(n)$-orientations of vector bundles and minor improvements to exposition. To appear in Proceedings of the Mid-Atlantic Topology Conference