Untangling DNA
``Knot theory - a new kind of applicable mathematics!'' This starts an excellent survey article which provides the reader with a glimpse of a topological approach to enzymology, the geometry of DNA, site-specific recombination, tangles and 4-plats, Tn3 resolvase, and Phage \(\lambda\) Integrase. Resolvase recombinations lead to tangle equations and it is shown how the Cyclic Surgery Theorem of Culler, Gordon, Luecke-Shalen and the Determination of Knots by their Complements Theorem of Gordon-Luecke can be used to solve certain such tangle equations for the tangle factors. The author rightfully concludes the article with the hope that he has provided the reader with some reason to question a statement of \textit{Cipra} [Science 241, 1291-1292 (1988)]: ``Gordon and Luecke's solution to Tietze's 80 year-old problem has no immediate practical or even theoretical applications.''
Determination of Knots by their Complements
scientific article; zbMATH DE number 4171954
scientific article