Louis H. Kauffman, Sofia Lambropoulou
Published 2003-11-27Version 1
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.
Comments: 49 pages, 33 figures, LaTeX document
Determinants of rational knots
On the classification of rational tangles
An introduction to finite type invariants of knots and 3-manifolds defined by counting graph configurations
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