E-raamat: Energy of Knots and Conformal Geometry [World Scientific e-raamat]

Energy of knots is a theory that was introduced to create a "canonical configuration" of a knot - a beautiful knot which represents its knot type. This book introduces several kinds of energies, and studies the problem of whether or not there is a "canonical configuration" of a knot in each knot type. It also considers this problem in the context of conformal geometry. The energies presented in the book are defined geometrically. They measure the complexity of embeddings and have applications to physical knotting and unknotting thorough numerical experiments.

O'Hara (mathematics, Tokyo Metropolitan University introduces several kinds of energies of knots, studies the problem of whether there is a canonical configuration of a knot in each knot type, and considers this problem in the context of conformal geometry. The energies presented are defined geometrically and measure the complexity of embeddings. They have applications to various fields of natural science. Annotation (c) Book News, Inc., Portland, OR (booknews.com)