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arxiv: 2107.12823 · v1 · pith:K4CANWPCnew · submitted 2021-07-27 · 🧮 math.GT

Properties of glued knots

classification 🧮 math.GT
keywords knotsgluingpropertiesdegreegluedcalledclassicalclassify
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We study the properties of glued knots, a sub-class of real rational knots, that can be constructed by gluing ellipses. We define an invariant called the gluing degree and relate it to various classical properties of knots and classify all knots up to gluing degree 6.

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