Fibered Knot

A knot or link L^n in S^(n+2) is said to be fibered if there exists a fibration f:S^(n+2)-L->S^1 and if 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


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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 Web Resource.

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