Summary and Info
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.
More About the Author
Jun O'Hara, legally named Jun Imai (今井 淳, Imai Jun), is a Japanese mathematician who works on the fields of low-dimensional topology and knot theory.
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