ENGLISH

Energy of knots and conformal geometry

By Jun O'Hara

Book information

Publisher
World Scientific Publishing Company
Year
2003
ISBN
9812383166, 9789812383167, 9789812795304
LCC
QA612.2 .O36 2003
Open Library ID
OL3682584M
Language
english
Format
DJVU
Filesize
2 MB (2026012 bytes)
Series
K & E Series on Knots and Everything, V. 33
Pages
306\306
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

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.

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