Energy of Knots and Conformal Geometry

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Mathematics
Energy of Knots and Conformal Geometry

Energy of Knots and Conformal Geometry

Name: Energy of Knots and Conformal Geometry
ISBN: 9789812795304

Jun O'Hara

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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.

种类:

Mathematics

年:

2003

出版社:

World Scientific Publishing Company

语言:

english

页:

306

ISBN 10:

9812795308