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Bibliographic Details
Main Authors: de Brito, Pedro Boavida, Horel, Geoffroy
Format: Preprint
Published: 2020
Subjects:
Online Access:https://arxiv.org/abs/2002.01470
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Table of Contents:
  • 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 $n \leq p + 1$.