The Casson-Gordon invariants in high-dimensional knot theory

Author:
Daniel Ruberman

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

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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.

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9947-1988-0933307-9

Keywords:
Doubly slice knots,
surgery groups,
-invariants

Article copyright:
© Copyright 1988
American Mathematical Society