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.
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页码：4059 / 4072
页数：14
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