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Date: 30-7-2021
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A link invariant defined for a two-component oriented link as the sum of crossings and crossing over all crossings between the two links divided by 2. For components and ,
where is the set of crossings of with , and is the sign of the crossing. The linking number of a splittable two-component link is always 0.
REFERENCES:
Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 19, 1991.
Pohl, W. F. "The Self-Linking Number of a Closed Space Curve." J. Math. Mech. 17, 975-985, 1968.
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 132-133, 1976.
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