Energy Of Knots And Conformal Geometry

by Jun O'hara

Overview

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 problems 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 through numerical experiments.

Product Details

ISBN-13:	9789812383167
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	03/26/2003
Series:	Series On Knots And Everything , #33
Pages:	304
Product dimensions:	6.20(w) x 9.10(h) x 1.00(d)