Constructing real rational knots by gluing

Shane D'Mello; Rama Mishra

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arXiv · 1608.03975

Constructing real rational knots by gluing

Shane D'Mello·Rama Mishra

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Abstract

We show that the problem of constructing a real rational knot of a reasonably low degree can be reduced to an algebraic problem involving the pure braid group: expressing an associated element of the pure braid group in terms of the standard generators of the pure braid group. We also predict the existence of a real rational knot in a degree that is expressed in terms of the edge number of its polygonal representation.

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BibTeX RIS

Shane D'Mello, Rama Mishra. 2016-08-13. Constructing real rational knots by gluing. https://arxiv.org/abs/1608.03975

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