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Galois symmetries of knot spaces
Compositio Mathematica ( IF 1.3 ) Pub Date : 2021-04-29 , DOI: 10.1112/s0010437x21007041
Pedro Boavida de Brito , Geoffroy Horel

We exploit the Galois symmetries of the little disks operads to show that many differentials in the Goodwillie–Weiss spectral sequences approximating the homology and homotopy of knot spaces vanish at a prime $p$. Combined with recent results on the relationship between embedding calculus and finite-type theory, we deduce that the $(n+1)$th Goodwillie–Weiss approximation is a $p$-local universal Vassiliev invariant of degree $\leq n$ for every $n \leq p + 1$.



中文翻译:

结空间的Galois对称性

我们利用小圆盘的Galois对称性来证明,结点空间的同源性和同质性接近的Goodwillie-Weiss光谱序列中的许多差异在素数$ p $处消失。与嵌入微积分和有限型理论之间的关系最近的研究结果相结合,我们推断,$(N + 1)$个古德维利-韦斯近似是$ P $度-本地通用尤里耶维奇不变$ \当量N $为每$ n \ leq p + 1 $

更新日期:2021-04-29
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