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On boundary-link cobordism

Published online by Cambridge University Press:  24 October 2008

Washington Mio
Washington Mio
Affiliation:
Institute de Matemática Pura e Aplicada, Estrada Dona Castorina, 110, Rio de Janeiro – R.J. – 22.460, Brazil
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Extract

An n-dimensional m-component link is an oriented smooth submanifold Σn of Sn+2, where is the ordered disjoint union of m submanifolds of Sn+2, each homeomorphic to Sn. Σ is a boundary link if there is an oriented smooth submanifold Vn+1 of Sn+1, the disjoint union of the submanifolds , such that ∂Vi = Σi (i = 1,…, m). A pair (Σ, V), where Σ is a boundary link and V as above, with each Vi connected (i = 1,…, m), is called an n-dimensional special Seifert pair. In this paper, we define a notion of cobordism of special Seifert pairs and give an algebraic description of the set (group) of cobordism classes.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 101 , Issue 2 , March 1987 , pp. 259 - 266
Copyright
Copyright © Cambridge Philosophical Society 1987

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