Unknots and Molecular Biology |
| |
| Authors: | Louis H. Kauffman Sofia Lambropoulou |
| |
| Affiliation: | (1) Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, 851 South Morgan St., Chicago, IL, 60607-7045, U.S.A;(2) Department of Mathematics, National Technical University of Athens, Zografou Campus, GR-157 80 Athens, Greece |
| |
| Abstract: | This article shows that an unknot is obtained as the numerator closure of the sum of two rational tangles, whose respective fractions are P/Q and R/S, if and only if PS − QR = ± 1. This result is used to construct many examples of unknotted diagrams, including “hard” unknot diagrams that require non-simplifying Reidemeister moves in order to be unknotted. The paper then discusses minimal hard unknots and the applications of these results to DNA recombination. Lecture held in the Seminario Matematico e Fisico on July 7, 2005 Received: July 2006 |
| |
| Keywords: | Knot link Reidemeister move hard unknot tangle rational tangle tangle fraction rational knot continued fraction convergent DNA recombination |
| 本文献已被 SpringerLink 等数据库收录！ |
|
