Physical Knots
نویسنده
چکیده
What happens to knot theory when the knots, traditionally studied as purely one dimensional, completely flexible filaments, are given physical substance – in the form of thickness, rigidity, or some kind of self-repelling? Researchers have developed several measures of knot complexity, modeled on these kinds of physical “reality”. We shall explore these ideas, see relations between different notions of complexity, and compare the “ideal” conformations of knots that arise. We also note that there are observed relationships between these measures of complexity and behavior of actual knotted DNA molecules. The development of “Physical Knot Theory” is characterized by growing understanding along with an ample supply of open questions.
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تاریخ انتشار 2007