论文标题
Goodwillie的长结空间及其应用的宇宙模型
Goodwillie's cosimplicial model for the space of long knots and its applications
论文作者
论文摘要
我们从cosimplicial空间之间观察到的对应关系的详细信息，以及从该间隔的一类开放子集到紧凑型弱产生的弱的Hausdorff空间类别的良好函子。使用此过程，我们计算了整体bousfield的第一页 - 嵌入式函数的泰勒塔与长结空间相关的纤维塔的kan同谱光谱序列。基于[CON08]中的方法，我们通过引入$（i，n）$标记的单位数图的概念，对差速器$ d^1 $映射的组合解释。
We work out the details of a correspondence observed by Goodwillie between cosimplicial spaces and good functors from a category of open subsets of the interval to the category of compactly generated weak Hausdorff spaces. Using this, we compute the first page of the integral Bousfield--Kan homotopy spectral sequence of the tower of fibrations given by the Taylor tower of the embedding functor associated to the space of long knots. Based on the methods in [Con08], we give a combinatorial interpretation of the differentials $d^1$ mapping into the diagonal terms, by introducing the notion of $(i, n)$-marked unitrivalent graphs.
