On the slice genus of links

被引：7

作者：

Florens, Vincent ^{[1
]}

Gilmer, Patrick M.

机构：

[1] Univ Strasbourg, Lab IRMA, Strasbourg, France

来源：

ALGEBRAIC AND GEOMETRIC TOPOLOGY | 2003年 / 3卷 / 02期

关键词：

Casson-Gordon invariants; link signatures;

D O I：

10.2140/agt.2003.3.905

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We define Casson-Gordon sigma-invariants for links and give a lower bound of the slice genus of a link in terms of these invariants. We study as an example a family of two component links of genus h and show that their slice genus is h, whereas the Murasugi-Tristram inequality does not obstruct this link from bounding an annulus in the 4-ball.

引用

页码：905 / 920

页数：16

共 20 条

[1] BRANCHED COVERS OF SURFACES IN 4-MANIFOLDS [J].