A theory of cobordism for non-spherical links

被引：8

作者：

Blanloeil, V ^{[1
]}

Michel, F ^{[1
]}

机构：

[1] UNIV NANTES,DEPT MATH,F-44072 NANTES 03,FRANCE

来源：

COMMENTARII MATHEMATICI HELVETICI | 1997年 / 72卷 / 01期

关键词：

knots and links; knot-cobordism; algebraic links; singularities;

D O I：

10.1007/PL00000365

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define an equivalence relation, called algebraic cobordism on the set of bilinear forms over the integers. When n greater than or equal to 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.

引用

页码：30 / 51

页数：22

共 22 条

[1]

BLANLOEIL V, 1995, CR ACAD SCI I-MATH, V320, P985

[2]

BLANLOEIL V, 1994, THESIS U NANTES

[3]

BROWDER W, 1972, ERGER MATH, V65

[4] COBORDISM OF ALGEBRAIC KNOTS VIA SEIFERT FORMS [J].

DUBOIS, P ;

MICHEL, F .

INVENTIONES MATHEMATICAE, 1993, 111 (01) :151-169

[5]

DURFEE A, 1974, TOPOLOGY, V13, P47, DOI DOI 10.1016/0040-9383(74)90037-8

[6] BILINEAR AND QUADRATIC-FORMS ON TORSION MODULES [J].

DURFEE, AH .

ADVANCES IN MATHEMATICS, 1977, 25 (02) :133-164

[7]

Fox R., 1966, OSAKA J MATH, V3, P257

[8]

KERVAIRE MA, 1970, LECT NOTES MATH, V197

[9]

Kervaire Michel A., 1965, B SOC MATH FRANCE, V93, P225, DOI 10.24033/bsmf.1624

[10]

LANNES J, 1975, SOC MATH FRANCE ASTE, V26

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