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Filtration of the classical knot concordance group and Casson–Gordon invariants

Filtration of the classical knot concordance group and Casson–Gordon invariants

It is known that if every prime power branched cyclic cover of a knot in for which Casson–Gordon invariants vanish in Cochran–Orr–Teichner's filtration of the classical knot concordance group. As a corollary, it follows that Casson–Gordon invariants are not a complete set of obstructions to a second layer of Whitney …