HOMOTOPY CLASSIFICATION OF 3-COMPONENT LINKS OF CODIMENSION GREATER-THAN 2

被引：5

作者：

MASSEY, WS ^{[1
]}

机构：

[1] YALE UNIV,DEPT MATH,NEW HAVEN,CT 06520

来源：

TOPOLOGY AND ITS APPLICATIONS | 1990年 / 34卷 / 03期

关键词：

D O I：

10.1016/0166-8641(90)90043-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L be a link consisting of spheres of dimensions p1, p2, and p3 respectively imbedded in Rm such that m - pi > 2 for i = 1, 2, and 3. For such links we define an invariant β (L) ε{lunate} πp1+p2+p3(S2m-3) which is invariant under link homotopy. This invariant is shown to be the stable suspension of a certain link concordance invariant introduced by Haefliger and Steer in 1964. For a certain range of dimensions such links are classified up to link homotopy by the new invariant β(L) and the link homotopy classes of their 2-component sublinks. © 1990.

引用

页码：269 / 300

页数：32

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