Wow! eBook
ENERGY OF KNOTS AND CONFORMAL GEOMETRY
Author(s): Jun O'Hara (Author)
- Publisher: World Scientific Publishing Company
- Publication Date: May 8, 2003
- Language: English
- Print length: 304 pages
- ISBN-10: 9812383166
- ISBN-13: 9789812383167
Book 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 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.
Editorial Reviews
Review
.,.” gives an excellent, state of the art account of many of the important results in this field.”
From the Publisher
Readership: Graduate students and researchers in geometry & topology and numerical & computational mathematics
