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Fibered Knot


A fibered knot is a knot or link L^n in S^(n+2) for which there exists a fibration f:S^(n+2)-L->S^1 and the fibration is well-behaved near L (Rolfsen 1976, p. 323).

Examples of fibered knots include the trefoil knot and figure eight knot.

The knot sum of two fibered knots is fibered (Rolfsen 1976, p. 326).


See also

Fibration

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References

Rolfsen, D. "Fibered Knots and Links." §10.H in Knots and Links. Wilmington, DE: Publish or Perish Press, pp. 323-326, 1976.

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Fibered Knot

Cite this as:

Weisstein, Eric W. "Fibered Knot." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/FiberedKnot.html

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