Energy of knots and conformal geometry
By: Jun O'Hara.
Series: K & E series on knots and everything ;; v. 33
Publisher: World Scientific Pub.
Published: 2003
Place of publication: River Edge, NJ
Language: eng
Number of pages: 288
Subjects: Knot theory; Conformal geometry
Description: "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."--Jacket.
Notes: Includes bibliographical references and index.