Width of a satellite knot and its companion
classification
🧮 math.GT
keywords
knotsatellitecompanionwidthalexanderbraidconjecturedenote
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In the paper we prove the conjecture by Alexander Zupan that $w(K) \geqslant n^2w(J)$ where w denote the width and $K$ and $J$ are satellite knot and its companion with winding number $n$. Also we proved that for satellite knot with braid pattern, the equality holds.
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