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arxiv: 1311.3996 · v1 · pith:X3D5UCDEnew · submitted 2013-11-15 · 🧮 math.GT

Classification of real rational knots of low degree in the 3-sphere

classification 🧮 math.GT
keywords rationalrealisotopyknotsrigidsphereclassesclassification
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In this paper we classify, up to rigid isotopy, non-singular real rational curves of degrees less than or equal to 6 in a quadric homeomorphic to the 3-sphere. We also study their connections with rigid isotopy classes of real rational knots in $\mathbb{RP}^3$.

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