Doubly slice knots and the Casson-Gordon invariants

Ruberman, Daniel

doi:10.1090/S0002-9947-1983-0709569-5

Doubly slice knots and the Casson-Gordon invariants
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Trans. Amer. Math. Soc. 279 (1983), 569-588 Request permission

Abstract:

We find knots in all dimensions which are algebraically but not geometrically doubly slice. Our new obstructions involve the Casson-Gordon invariants of the finite cyclic covers in odd dimensions and of the infinite cyclic cover in even dimensions. These same invariants provide new criteria for amphicheirality and invertibility of even-dimensional knots.

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