Montesinos link
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In the mathematical theory of knots, a Montesinos link is a special kind of link that generalizes pretzel links. A Montesinos link which is also a knot (i.e. a link with one component) is a Montesinos knot.
Notation
A Montesinos link is composed of several rational tangles. One notation for a Montesinos link is .[1]
In this notation, and all the and are integers. The Montesinos link given by this notation consists of the sum of the rational tangles given by the integer and the rational tangles
A pretzel link can also be described as a Montesinos link with integer tangles.
References
- ↑ Zieschang, Heiner. "Classification of Montesinos knots." Topology. Springer Berlin Heidelberg, 1984. 378–389
Further reading
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