高维弦链空间的去环
Delooping of high-dimensional spaces of string links
摘要：
本文研究了一个多变量版本的Goodwillie-Weiss函子演算和一个算子族上k重双模的映射空间之间的联系。作为我们的主要应用，在对所有$i\in \{1,\ldots,k\}$都是$d_{i}+3\leq n$的假设下，我们给出了从$\sqcup_{i}\mathbb{R}^{d_{i}}$到$\mathbb{R}^{n}$的高维弦链模浸入空间的显式解环及其多项式逼近.
英文摘要：
We study a connection between a multivariable version of the Goodwillie-Weiss' calculus of functors and derived mapping spaces of k-fold bimodules over a family of operads. As our main application, under the assumption $d_{i}+3\leq n$ for all $i\in \{1,\ldots,k\}$, we produce explicit deloopings of high-dimensional spaces of string links modulo immersions from $\sqcup_{i}\mathbb{R}^{d_{i}}$ to $\mathbb{R}^{n}$ and their polynomial approximations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
