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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 k...
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Lenguaje: | eng |
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World Scientific
2003
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Acceso en línea: | http://cds.cern.ch/record/803772 |
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author | O'Hara, Jun |
author_facet | O'Hara, Jun |
author_sort | O'Hara, Jun |
collection | CERN |
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. Contents: In Search of the "Optima |
id | cern-803772 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2003 |
publisher | World Scientific |
record_format | invenio |
spelling | cern-8037722021-04-22T02:26:42Zhttp://cds.cern.ch/record/803772engO'Hara, JunEnergy of knots and conformal geometryMathematical Physics and MathematicsEnergy 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. Contents: In Search of the "OptimaWorld Scientificoai:cds.cern.ch:8037722003 |
spellingShingle | Mathematical Physics and Mathematics O'Hara, Jun Energy of knots and conformal geometry |
title | Energy of knots and conformal geometry |
title_full | Energy of knots and conformal geometry |
title_fullStr | Energy of knots and conformal geometry |
title_full_unstemmed | Energy of knots and conformal geometry |
title_short | Energy of knots and conformal geometry |
title_sort | energy of knots and conformal geometry |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/803772 |
work_keys_str_mv | AT oharajun energyofknotsandconformalgeometry |