Non-trivial negative links have positive signature (Q1116118)
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scientific article; zbMATH DE number 4088519
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Non-trivial negative links have positive signature |
scientific article; zbMATH DE number 4088519 |
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Non-trivial negative links have positive signature (English)
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1988
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A negative link is an oriented link that can be represented by a diagram with all the crossings negative. The author proves that the signature of a nontrivial negative link is positive. The proof uses a combinatorial formula for the signature of alternating links and the fact that if one crossing in a diagram of an oriented link is smoothed, then the signature changes at most by one.
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signature of a negative link
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signature of alternating links
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0.8785818
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0.8296685
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0.8222032
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0.8145922
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0.80928755
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0.80515677
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