A theory of cobordism for non-spherical links |
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| Authors: | V. Blanlœil F. Michel |
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| Affiliation: | (1) Section de Mathématiques, Université de Genève, 2-4, rue du Lièvre, Case postale 240, CH-1211 Genève 24 Suisse, e-mail: blanloei@sc2a.unige.ch, CH;(2) Département de Mathématiques, Université de Nantes, 2, rue de la Houssinière, F-44072 Nantes cedex 03 France, e-mail: fmichel@math.univ-nantes.fr, FR |
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| Abstract: | We define an equivalence relation, called algebraic cobordism, on the set of bilinear forms over the integers. When , we prove that two 2n - 1 dimensional, simple fibered links are cobordant if and only if they have algebraically cobordant Seifert forms. As an algebraic link is a simple fibered link, our criterion for cobordism allows us to study isolated singularities of complex hypersurfaces up to cobordism. Received: August 24, 1995 |
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| Keywords: | . Knots and links knot-cobordism algebraic links singularities. |
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