HANDLE DECOMPOSITIONS OF RATIONAL HOMOLOGY BALLS AND CASSON-GORDON INVARIANTS

被引：6

作者：

Aceto, Paolo ^{[1
]}

Golla, Marco ^{[2
,3
]}

Lecuona, Ana G. ^{[4
]}

机构：

[1] Max Planck Inst Math, Bonn, Germany

[2] Univ Oxford, Math Inst, Oxford, England

[3] Univ Nantes, CNRS, Lab Math Jean Leray, Nantes, France

[4] Aix Marseille Univ, CNRS, Cent Marseille, I2M, Marseille, France

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 146卷 / 09期

基金：

欧洲研究理事会;

关键词：

KNOTS; SINGULARITIES; SURFACES; SURGERY;

D O I：

10.1090/proc/14035

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Given a rational homology sphere which bounds rational homology balls, we investigate the complexity of these balls as measured by the number of 1-handles in a handle decomposition. We use Casson-Gordon invariants to obtain lower bounds which also lead to lower bounds on the fusion number of ribbon knots. We use Levine-Tristram signatures to compute these bounds and produce explicit examples.

引用

页码：4059 / 4072

页数：14

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