The Casson-Gordon invariants in high-dimensional knot theory
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- by Daniel Ruberman PDF
- Trans. Amer. Math. Soc. 306 (1988), 579-595 Request permission
Abstract:
The Casson-Gordon invariants of knots in all dimensions are interpreted in terms of surgery theory. Applications are given to finding non-doubly slice knots, and doubly slice knots which are not the double of a disk knot. In even dimensions, the property of being doubly slice is shown to be largely homotopy theoretic, while in odd dimensions the surgery-theoretic method shows such properties to depend on more than the homotopy type.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 306 (1988), 579-595
- MSC: Primary 57Q45; Secondary 57M12, 57M25, 57R67
- DOI: https://doi.org/10.1090/S0002-9947-1988-0933307-9
- MathSciNet review: 933307