0 Pseudo – Slice Knots
نویسنده
چکیده
For n > 1, if the Seifert form of a knotted 2n − 1–sphere K in S 2n+1 has a metabo-lizer, then the knot is slice. Casson and Gordon proved that this is false in dimension three. However, in the three dimensional case it is true that if the metabolizer has a basis represented by a strongly slice link then K is slice. The question has been asked as to whether it is sufficient that each basis element is represented by a slice knot to assure that K is slice. For genus one knots this is of course true; here we present a genus two counterexample.
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تاریخ انتشار 2008