Difference between revisions of "Writhe"

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Latest revision as of 16:03, 21 September 2016

In knot theory, there are several competing notions of the quantity writhe, or Wr.

Description

In one sense, it is purely a property of an oriented link diagram and assumes integer values.

In another sense, it is a quantity that describes the amount of "coiling" of a mathematical knot (or any closed, simple curve) in three-dimensional space and assumes real numbers as values.

In both cases, writhe is a geometric quantity, meaning that while deforming a curve (or diagram) in such a way that does not change its topology, one may still change its writhe.

See also

External links