Proper links, algebraically split links and Arf invariant (Q1585906)
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scientific article; zbMATH DE number 1529890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proper links, algebraically split links and Arf invariant |
scientific article; zbMATH DE number 1529890 |
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Proper links, algebraically split links and Arf invariant (English)
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19 September 2002
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A \(n\)-component link \(L=(L_1,\dots,L_n)\) is said to be proper if for each component \(L_i\) the linking number \(lk(L_i,L-L_i)\) is even. For such a link one can define the Arf invariant, e.g. by using a proper quadratic form on the modulo \(2\) homology of a Seifert surface. Various formulas for the Arf invariant are given, with specific considerations in the case of an algebraically split link (resp. of a \(Z_2\) algebraically split link).
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proper link
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algebraically split link
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Arf invariant
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Brown invariant
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0.92915297
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0.9253822
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0.91780096
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0.88941264
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