Casson-Gordon invariants of some 3-fold branched covers of knots (Q1122831)
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scientific article; zbMATH DE number 4107751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Casson-Gordon invariants of some 3-fold branched covers of knots |
scientific article; zbMATH DE number 4107751 |
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Casson-Gordon invariants of some 3-fold branched covers of knots (English)
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1989
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The paper continues earlier work by the author and is concerned with the construction of odd-dimensional knots that are doubly sliced but not doubled disks. While \((4n+1)\)-dimensional examples were published elsewhere by the author [Trans. Am. Math. Soc. 298, 723-732 (1986; Zbl 0618.57007)] by using the Casson-Gordon invariant from the 2-fold covers of the knot, the 3-fold covers are employed here for \((4n+3)\)-dimensional examples. The author also proves that certain \((4n+3)\)-knots constructed by Ruberman are not doubly sliced although they satisfy the necessary conditions given by Sumners and Levine for odd dimensional doubly sliced knots.
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odd-dimensional knots
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doubly sliced
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doubled disks
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Casson-Gordon invariant
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