On the Classification of Rational Knots

By Louis H. Kauffman, Sofia Lambropoulou. 2002

58 citations recorded by the source corpus.

This paper gives new and elementary combinatorial topological proofs of the classification of unoriented and oriented rational knots and links. These proofs are based on the known classification of alternating knots through flyping, and the calculus of continued fractions. We characterize the class of strongly invertible rational links. Rational links are of fundamental importance in the study of DNA recombination.

Subfields: Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/c3043bb63b6526c96444c2aef9fdeef4941e73e5

Citations in the corpus

• $q$-DEFORMED RATIONALS AND $q$-CONTINUED FRACTIONS (2018, unknown): “[20].”