TL;DR
This paper investigates glued knots, a special class of real rational knots formed by gluing ellipses, introduces a new invariant called the gluing degree, and classifies knots up to degree 6.
Contribution
It defines the gluing degree invariant and provides a classification of all glued knots with degree up to 6, linking it to classical knot properties.
Findings
Introduced the gluing degree as a new invariant.
Classified all glued knots up to degree 6.
Connected gluing degree to classical knot properties.
Abstract
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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