6 citations · 9 across the 4 of their papers we have counts for
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Real rational knots in the quadric of signature~
Shane D'Mello, Priya Rani
We study the space of real rational curves of low degree in the quadric of signature and provides a classificaton of real rational knots and nodal curves. Apart from the cl…
Properties of glued knots
Shane D'Mello, Vinay Gaba
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 i…
Constructing real rational knots by gluing
Shane D'Mello, Rama Mishra
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 associ…
Classification of real rational knots of low degree in the 3-sphere
Shane D'Mello
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…