A theory of cobordism for non spherical links.

Vincent Blanloeil (1) , Françoise Michel

1 IRMA - Institut de Recherche Mathématique Avancée

We define an equivalence relation, called algebraic cobordism, on the set of bilinear forms over the integers. When $n\geq 3$, 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.

Mots clés: algebraic links; fibered links; "algebraic links; h-cobordism; fibered links"

Domaines: Variables complexes [math.CV]

Vincent Blanloeil, Françoise Michel. A theory of cobordism for non spherical links.. 1997. ⟨hal-00129570⟩