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Energy of Knots and Conformal Geometry PDF

306 Pages·2003·9.002 MB·English
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by Jun O'Hara| 2003| 306 pages| 9.002| English

About Energy of Knots and Conformal Geometry

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.

Detailed Information

Author:Jun O'Hara
Publication Year:2003
ISBN:9789812795304
Pages:306
Language:English
File Size:9.002
Format:PDF
Price:FREE
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