Energy of Knots and Conformal Geometry (Hardcover) (ISBN-13: 9789812383167)

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.

Author: Jun O'Hara
ISBN-10: 9812383166
ISBN-13: 9789812383167
Publisher: World Scientific Publishing Company
Language: English
Published: 03/26/2003
Pages: 304
Format: Hardcover
Weight: 1.47lbs
Size: 9.24h x 6.38w x 0.95d