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

Abstract

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 ${\mathbb{RP}}^3$.

26 pages

References in corpus (1)

• Rigid isotopy classification of real degree-4 planar rational curves with only real nodes (An elementary approach)