Blanchfield duality and simple knots

Author:

Kearton C.

Abstract

The method of presentation for n n -knots is used to classify simple ( 2 q 1 ) (2q - 1) -knots, q > 3 q > 3 , in terms of the Blanchfield duality pairing. As a corollary, we characterize the homology modules and pairings which can arise from classical knots.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference13 articles.

1. Intersection theory of manifolds with operators with applications to knot theory;Blanchfield, Richard C.;Ann. of Math. (2),1957

2. The group 𝐺’/𝐺” of a knot group 𝐺;Crowell, R. H.;Duke Math. J.,1963

3. Presentations of 𝑛-knots;Kearton, C.;Trans. Amer. Math. Soc.,1975

4. Les nœuds de dimensions supérieures;Kervaire, Michel A.;Bull. Soc. Math. France,1965

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