When is a band-connected sum equal to the connected sum?
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🧮 math.GT
keywords
bandband-connectedconnectedequalalongknotsonlytrivial
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We show that a band-connected sum of knots $K_0$ and $K_1$ along a band $b$ is equal to the connected sum $K_0\# K_1$ if and only if $b$ is a trivial band.
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