English

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

Geometric Topology 2013-11-19 v1

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 RP3\mathbb{RP}^3.

Keywords

Cite

@article{arxiv.1311.3996,
  title  = {Classification of real rational knots of low degree in the 3-sphere},
  author = {Shane D'Mello},
  journal= {arXiv preprint arXiv:1311.3996},
  year   = {2013}
}

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26 pages