TY - BOOK ID - 77942508 TI - Energy of knots and conformal geometry PY - 2003 SN - 1281935719 9786611935719 9812795308 9789812795304 9812383166 PB - River Edge, NJ World Scientific DB - UniCat KW - Knot theory. KW - Conformal geometry. KW - Circular geometry KW - Geometry of inverse radii KW - Inverse radii, Geometry of KW - Inversion geometry KW - MoĢbius geometry KW - Geometry KW - Knots (Topology) KW - Low-dimensional topology UR - https://www.unicat.be/uniCat?func=search&query=sysid:77942508 AB - 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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