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Media type:
E-Article
Title:
Galois symmetries of knot spaces
Contributor:
Boavida de Brito, Pedro;
Horel, Geoffroy
Published:
Wiley, 2021
Published in:
Compositio Mathematica, 157 (2021) 5, Seite 997-1021
Language:
English
DOI:
10.1112/s0010437x21007041
ISSN:
0010-437X;
1570-5846
Origination:
Footnote:
Description:
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 $n \leq p + 1$.