There are techniques to calculate the group of a knot, i.e. the fundamental group of its complement in a manifold, but are there techniques to calculate its higher homotopy groups?
Can anyone suggest a reference on this topic?
2026-03-25 12:27:19.1774441639
Calculating higher homotopy groups of (complements of) knots
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In
It is proven that knot completements in $S^3$ are aspherical (all higher homotopy groups vanish)