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Stable DNA Motifs, 1D and 2D Nanostructures Constructed from Small Circular DNA Molecules
Published on: April 12, 2019
[DNA knots and strong triviality]
1Department of Mathematics, School of Medicine, University of Occupational and Environmental Health, Japan, Yahatanishi-ku, Kitakyushu 807-8555, Japan.
Abstract:
A circle embedded in 3-space without self-intersection is called a knot. A knot is a mathematical object according to topology. Knot theory studies how complicated a given knot is, or whether it is trivial. Any knot can be represented by a diagram with above and below information at the crossings. Then a knot obtained by replacing the information at one crossing is generally another knot. This operation is called a crossing change. A crossing change is an important notion in knot theory. In this article, we survey the strong triviality of knots, which is one of the multi-crossing changes.
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