The shadow nature of positive and twisted quandle invariants of knots-Reference-Cited by-同舟云学术

The shadow nature of positive and twisted quandle invariants of knots

Published:2015-09 Issue:10 Volume:24 Page:1540001
ISSN:0218-2165
Container-title:Journal of Knot Theory and Its Ramifications
language:en
Short-container-title:J. Knot Theory Ramifications

Author:

Kamada Seiichi¹,Lebed Victoria²³,Tanaka Kokoro⁴

Affiliation:

1. Department of Mathematics, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

2. OCAMI, Osaka City University, Sugimoto, Sumiyoshi-ku, Osaka 558-8585, Japan

3. Henri Lebesgue Center, University of Nantes, 2 rue de la Houssinière, BP 92208 F-44322, Nantes Cedex 3, France

4. Department of Mathematics, Tokyo Gakugei University, 4-1-1 Nukuikita-machi, Koganei-shi, Tokyo 184-8501, Japan

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218216515400015

Reference17 articles.

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