A THEORY OF COBORDISM FOR NONSPHERICAL LINKS

Citation
V. Blanloeil et F. Michel, A THEORY OF COBORDISM FOR NONSPHERICAL LINKS, Commentarii mathematici helvetici, 72(1), 1997, pp. 30-51
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics
ISSN journal
00102571
Volume
72
Issue
1
Year of publication
1997
Pages
30 - 51
Database
ISI
SICI code
0010-2571(1997)72:1<30:ATOCFN>2.0.ZU;2-H
Abstract
We define an equivalence relation, called algebraic cobordism on the s et of bilinear forms over the integers. When n greater than or equal t o 3, we prove that two 2n - 1 dimensional, simple fibered links are co bordant if and only if they have algebraically cobordant Seifert forms . As an algebraic link is a simple fibered link, our criterion for cob ordism allows us to study isolated singularities of complex hypersurfa ces up to cobordism.