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January 14, 2021

Filed under: knots,Mathematics — Rob @ 7:15 am

This post is describing the push move (named by Murasugi), which is an extra move in knots which doesn’t effect the knot. In R^3, this is seen as the curve being mapped to itself by a rotation of the curve upon itself. In P^3 we see this as a movement of joining pairs around the curve. The cyclic order of the joining pairs gives us the shape of the knot diagram.

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