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.
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页数：18
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