A note on Murasugi sums (Q1322109)
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scientific article; zbMATH DE number 562518
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on Murasugi sums |
scientific article; zbMATH DE number 562518 |
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A note on Murasugi sums (English)
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30 March 1995
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\textit{D. Gabai} showed in [Contemp. Math. 20, 131-143 (1983; Zbl 0524.57004)] that the Murasugi sum for two knots is ``natural'' if performed on minimal Seifert surfaces, meaning that the genus behaves additively in this case. The authoress presents two simple examples using compressible Seifert surfaces which show that in general neither sub- additivity nor super-additivity holds for the genus under Murasugi sums.
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Murasugi sum for knots
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compressible Seifert surfaces
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0.8040506839752197
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0.7887951135635376
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0.7823020815849304
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0.7793047428131104
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