| Fibered Knot |
Website Links For Knot |
Information AboutFibered Knot |
| CATEGORIES ABOUT FIBERED KNOT | |
| knot theory | |
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in the 3-dimensional Sphere is called fibered (sometimes spelled '''fibred''') in case there is a 1-parameter family of Seifert Surfaces for , where the parameter runs through the points of the Unit Circle , such that if is not equal to then the intersection of and is exactly . For example:
Fibered knots and links arise naturally, but not exclusively, in Complex Algebraic Geometry . For instance, each Singular Point of a Complex Plane Curve can be described topologically as the Cone on a fibered knot or link called the link of the singularity. The Trefoil Knot is the link of the Cusp singularity ; the Hopf link (oriented correctly) is the link of the Node singularity . In these cases, the family of Seifert surfaces is an aspect of the Milnor Fibration of the singularity. |
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