Slicing Bing doubles

被引：16

作者：

Cimasoni, David ^{[1
]}

机构：

[1] Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2006年 / 6卷

关键词：

D O I：

10.2140/agt.2006.6.2395

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Bing doubling is an operation which produces a 2-component boundary link B(K) from a knot K. If K is slice, then B(K) is easily seen to be boundary slice. In this paper, we investigate whether the converse holds. Our main result is that if B(K) is boundary slice, then K is algebraically slice. We also show that the Rasmussen invariant can tell that certain Bing doubles are not smoothly slice.

引用

页码：2393 / 2413

页数：21

共 22 条

[1]

[Anonymous], 1982, LOW DIMENSIONAL TOPO

[2]

BELIAKOVA A, 2001, ARXIVMATHQA0510382

[3] A HOMEOMORPHISM BETWEEN THE 3-SPHERE AND THE SUM OF 2 SOLID HORNED SPHERES [J].

BING, RH .

ANNALS OF MATHEMATICS, 1952, 56 (02) :354-362

[4]

BUDNEY R, 2003, ARXIVMATHGT0506523

[5] Signature invariants of links from irregular covers and non-abelian covers [J].

Cha, JC ;

Ko, KH .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1999, 127 :67-81

[6]

CIMASONI D, 2005, ARXICMATHGT0505185

[7]

FREEDMAN MH, 1939, PRINCETON MATH SERIE, V39

[8] Link concordance, boundary link concordance and eta-invariants [J].

Friedl, S .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2005, 138 :437-460

[9]

HARVEY S, ARXIVMATHGT0609378

[10]

HATCHER A, BASIC TOPOLOGY 3 MAN

← 1 2 3 →