Twisted Blanchfield pairings and twisted signatures III: Applications

被引：0
|
作者：
Borodzik, Maciej [1 ]
Conway, Anthony [2 ]
Politarczyk, Wojciech [1 ]
机构：
[1] Univ Warsaw, Inst Math, Warsaw, Poland
[2] Univ Texas Austin, Austin, TX 78712 USA
来源：
GLASGOW MATHEMATICAL JOURNAL | 2024年
基金：
瑞士国家科学基金会;
关键词：
Knot concordance; Twisted Blanchfield forms; Twisted Alexander polynomials; TOPOLOGICAL SLICENESS; LINEAR-COMBINATIONS; CONCORDANCE; INVARIANTS; REPRESENTATIONS; SURGERY; KNOTS;
D O I：
10.1017/S0017089524000077
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper describes how to compute algorithmically certain twisted signature invariants of a knot $K$ using twisted Blanchfield forms. An illustration of the algorithm is implemented on $(2,q)$ -torus knots. Additionally, using satellite formulas for these invariants, we also show how to obstruct the sliceness of certain iterated torus knots.
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页数：40
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