Twisted cohomology pairings of knots II; to some Blanchfield pairings

被引：1

作者：

Nosaka, T. ^{[1
]}

机构：

[1] Tokyo Inst Technol, Dept Math, Tokyo 1528550, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2022年 / 31卷 / 07期

基金：

日本学术振兴会;

关键词：

Cup product; knot; Blanchfield pairing; infinite covering; quandle; S-EQUIVALENCE; INVARIANTS; HOMOLOGY;

D O I：

10.1142/S0218216522500407

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study some comparison between a bilinear cohomology pairing in local coefficients and the Blanchfield pairing of a knot. We show that the former pairing is an S-equivalent invariant, and give a criterion to a relation between the two pairings. We also observe that the pairings of some knots are equivalent, and that the pairings of other knots are not equivalent.

引用

页数：18

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