Half plane models for divides, their knots and Dowker-Thistlethwaite codes (Q2780947)
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scientific article; zbMATH DE number 1720146
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Half plane models for divides, their knots and Dowker-Thistlethwaite codes |
scientific article; zbMATH DE number 1720146 |
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21 October 2002
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Dowker-Thislethwaite code
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divide
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0.8380674
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0.8356038
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0.83313674
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0.83302265
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0.8316043
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Half plane models for divides, their knots and Dowker-Thistlethwaite codes (English)
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A divide is the image of a generic immersion of a finite number of copies of the unit interval or the unit circle in the unit disk. Divides were introduced by \textit{N. A'Campo} [Ann. Fac. Sci. Toulouse, VI. Sér., Math. 8, No. 1, 5-23 (1999; Zbl 0962.32025)] as an extension of complex plane curve singularities. In this paper the author constructs regular knot diagrams of the knots of divides by using half plane models and presents a systematic algorithm for making Dowker-Thistlethwaite codes of the knots from the divides.
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