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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