Quinn谱的乘法性质
代数拓扑
2011-03-11 v2 几何拓扑
摘要
我们给出了一个简单的充分条件，使得Quinn的“配边型谱”弱等价于严格结合环谱。我们还证明了庞加莱配边和对称L-理论自然弱等价于幺半函子。这些证明的一部分涉及表明Quinn从配边型理论到谱的函子可以提升到对称谱的范畴。我们还给出了基础理论的新阐述。
引用
@article{arxiv.0907.2367,
title = {Multiplicative properties of Quinn spectra},
author = {Gerd Laures and James E. McClure},
journal= {arXiv preprint arXiv:0907.2367},
year = {2011}
}
备注
52 pages. Appendix added on the Quinn and Thom versions of MTop. Set-theoretic discussions added to show that certain objects are really sets and not classes. Various minor technical improvements