The shadow nature of positive and twisted quandle invariants of knots

被引：1

作者：

Kamada, Seiichi ^{[1
]}

Lebed, Victoria ^{[2
,3
]}

Tanaka, Kokoro ^{[4
]}

机构：

[1] Osaka City Univ, Dept Math, Sumiyoshi Ku, Osaka 5588585, Japan

[2] Osaka City Univ, OCAMI, Sumiyoshi Ku, Osaka 5588585, Japan

[3] Univ Nantes, Henri Lebesgue Ctr, F-44322 Nantes 3, France

[4] Tokyo Gakugei Univ, Dept Math, Koganei, Tokyo 1848501, Japan

来源：

JOURNAL OF KNOT THEORY AND ITS RAMIFICATIONS | 2015年 / 24卷 / 10期

关键词：

Quandles; multi-term distributive (co)homology; quandle cocycle invariants; positive quandle cocycle invariants; twisted quandle cocycle invariants; shadow colorings; HOMOLOGY; CURVES;

D O I：

10.1142/S0218216515400015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Quandle cocycle invariants form a powerful and well-developed tool in knot theory. This paper treats their variations-namely, positive and twisted quandle cocycle invariants, and shadow invariants. We interpret the former as particular cases of the latter. As an application, several constructions from the shadow world are extended to the positive and twisted cases. Another application is a sharpening of twisted quandle cocycle invariants for multi-component links.

引用

页数：15

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