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Date: 22-9-2016
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Date: 5-8-2021
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Date: 26-5-2021
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Whitehead Link
The prime link 05-0201, illustrated above, with braid word or and Jones polynomial
The Whitehead link has linking number 0. It was discovered by Whitehead in 1934 (Whitehead 1962, pp. 21-50) as a counterexample to a piece of an attempted proof of the Poincaré conjecture (Milnor).
REFERENCES:
Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 36, 1991.
Livingston, C. Knot Theory. Washington, DC: Math. Assoc. Amer., pp. 9 and 37-38, 1993.
Milnor, J. "The Poincaré Conjecture." https://www.claymath.org/millennium/Poincare_Conjecture/Official_Problem_Description.pdf.
Rolfsen, D. Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 68, 72, and 137, 1976.
Whitehead, J. H. C. Mathematical Works, Vol. 2. London: Pergamon Press, pp. 21-50, 1962.
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