Lower bounds for the unknotting numbers of certain iterated torus knots (Q1085836)
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scientific article; zbMATH DE number 3984119
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Lower bounds for the unknotting numbers of certain iterated torus knots |
scientific article; zbMATH DE number 3984119 |
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Lower bounds for the unknotting numbers of certain iterated torus knots (English)
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1986
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The author has previously given a lower bound for the unknotting number of certain torus knots [Proc. Am. Math. Soc. 86, 519-524 (1982; Zbl 0507.57003)]. Milnor conjectured that the unknotting number of algebraic knots, of which these are examples, must be equal to the genus; the bound given by the author is approximately half the genus. This paper extends his previous result to a class of iterated torus knots which are also algebraic knots.
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unknotting number
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algebraic knots
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genus
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iterated torus knots
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