Casson-Gordon invariants of some 3-fold branched covers of knots
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.
scientific article; zbMATH DE number 4107751