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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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Autor principal: O'Hara, Jun
Lenguaje:eng
Publicado: World Scientific 2003
Materias:
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
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institution Organización Europea para la Investigación Nuclear
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publishDate 2003
publisher World Scientific
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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