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Minimal Seifert manifolds and the knot finiteness theorem

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Abstract

It is proved that the Alexander modules determine the stable type of a knot up to finite ambiguity. The proof uses a new existence theorem of minimal Seifert surfaces for multidimensional knots of codimension two.

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  1. School of Mathematical Sciences, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978, Ramat Aviv, Israel

    M. Farber

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Farber, M. Minimal Seifert manifolds and the knot finiteness theorem. Israel J. Math. 66, 179–215 (1989). https://doi.org/10.1007/BF02765892

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