The Casson-Gordon invariants in high-dimensional knot theory

Ruberman, Daniel

doi:10.1090/S0002-9947-1988-0933307-9

The Casson-Gordon invariants in high-dimensional knot theory
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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.

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