2003/11/27 by Louis H. Kauffman, Sofia Lambropoulou, Kauffman, Louis H. +1
Computer Science · Mathematics · #57M27 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Number Theory (math.NT) #semigroups and automata theory
paper · pdf · doi:10.48550/arxiv.math/0311511
openalex publication_date 2003/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper is an introduction to rational tangles, rational knots and links and their applications to DNA. The paper can be read as an introduction to our more technical papers on rational tangles (math.GT/0311499) and on rational knots (math.GT/0212011). The present paper includes a self-contained account of the tangle fraction from the point of view of the bracket polynomial, accounts of the classification theorems for rational tangles and rational knots (and of our new proofs of these results) and a description of the use of rational tangles in studying DNA recombination.