Classifying and applying rational knots and rational tangles [unknown]

Louis H. Kauffman, Sofia Lambropoulou
2002 Contemporary Mathematics   unpublished
In this survey paper we sketch new combinatorial proofs of the classification of rational tangles and of unoriented and oriented rational knots, using the classification of alternating knots and the calculus of continued fractions. We continue with the classification of achiral and strongly invertible rational links, and we conclude with a description of the relationships among tangles, rational knots and DNA recombination. 1991 Mathematics Subject Classification. 57M25, 57M27.
doi:10.1090/conm/304/05197 fatcat:b7rjp3ojebf5dbxfmybs6xdemi