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arxiv: 1903.01971 · v1 · pith:4ICG3YWUnew · submitted 2019-03-05 · 🧮 math.GT

The knots that lie above all shadows

classification 🧮 math.GT
keywords knotknotsshadowaboveconnectedcrossingsevenevery
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We show that for each even integer $m\ge 2$, every reduced shadow with sufficiently many crossings is a shadow of a torus knot T(2,m+1), or of a twist knot $T_m$, or of a connected sum of $m$ trefoil knots.

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