Galois symmetries of knot spaces

Pedro Boavida de Brito; Geoffroy Horel

doi:10.1112/s0010437x21007041

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arXiv · 2002.01470

Galois symmetries of knot spaces

Pedro Boavida de Brito·Geoffroy Horel

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Abstract

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 $(n+1)$-st Goodwillie-Weiss approximation is a $p$-local universal Vassiliev invariant of degree $\leq n$ for every $n \leq p + 1$.

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BibTeX RIS

Pedro Boavida de Brito, Geoffroy Horel. 2020-02-04. Galois symmetries of knot spaces. https://doi.org/10.1112/s0010437x21007041

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