Knot energies and knot invariants
نویسندگان
چکیده
منابع مشابه
Knot Energies and Knot Invariants
To record what has happened, ancient people tie knots. | I ching, the Chinese classic of 1027{771 B.C. Knots are fascinating objects. When fastening a rope, the distinction between a knot and a \slip-knot" (one that can be undone by pulling) must have been recognized very early in human history. We even developed a subconscious about knots: When we are puzzled or troubled, we have a feeling of ...
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There has been recent interest in knot energies among mathematicians and natural scientists. When discretized, such energies can lead to effective algorithms for recognizing when two curves represent the same knot. These energies may also help model physical systems, such as long protein chains or DNA knots, subject to van der Waals interactions. Knot energies often are normalized to be scalein...
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We show that the n-th derivative of a quantum group invariant, evaluated at 1, is a Vassiliev invariant while the derivative of the Jones polynomial, evaluated at a real number 6 = 1, is not a Vassiliev in variant. The coeecients of the classical Conway polynomial are known to be Vassiliev invariants. We show that the coeecients of the Jones polynomial are not vassiliev invariants.
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ژورنال
عنوان ژورنال: Chaos, Solitons & Fractals
سال: 1998
ISSN: 0960-0779
DOI: 10.1016/s0960-0779(97)00097-0