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Hopf Link

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HopfLink

The prime link 02-0201 which has Jones polynomial

V(t)=-t-t^(-1)

and HOMFLY polynomial

P(z,alpha)=z^(-1)(alpha^(-1)-alpha^(-3))+zalpha^(-1).

It has braid word sigma_1^2.

See also

Borromean Rings, Link, Prime Link, Whitehead Link

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References

Adams, C. C. The Knot Book: An Elementary Introduction to the Mathematical Theory of Knots. New York: W. H. Freeman, p. 18, 1994.Kauffman, L. Knots and Physics. Teaneck, NJ: World Scientific, p. 12, 1991.

Referenced on Wolfram|Alpha

Hopf Link

Cite this as:

Weisstein, Eric W. "Hopf Link." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/HopfLink.html

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