Invariants of multi-linkoids

Gabrovšek, Boštjan (author), Gügümcü, Neslihan (author)

In this paper, we extend the definition of a knotoid to multi-linkoids that consist of a finite number of knot and knotoid components. We study invariants of multi-linkoids, such as the Kauffman bracket polynomial, ordered bracket polynomial, the Kauffman skein module, and the $T$-invariant in relation with generalized $\Theta$-graphs.

• Language: English
• Keywords: knotoid, multi-linkoid, spatial graph, Kauffman bracket polynomial, Kauffman bracket skein module, theta-curve, theta-graph
• Work type: Article
• Typology: 1.01 - Original Scientific Article
• Organization: FS - Faculty of Mechanical Engineering
• Publication status: Published
• Publication version: Version of Record
• Year: 2023
• Number of pages: 22 str.
• Numbering: Vol. 20, iss. 3, art. 165
• PID: 20.500.12556/RUL-148035
• UDC: 515.162
• ISSN on article: 1660-5446
• DOI: 10.1007/s00009-023-02370-w
• COBISS.SI-ID: 145856259
• Publication date in RUL: 26.07.2023

Record is a part of a journal

• Title: Mediterranean journal of mathematics
• Shortened title: Mediterr. j. math.
• Publisher: Springer Nature
• ISSN: 1660-5446
• COBISS.SI-ID: 13561433

Licences

• License: CC BY 4.0, Creative Commons Attribution 4.0 International
• Link: http://creativecommons.org/licenses/by/4.0/
• Description: This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.

Secondary language

• Language: Slovenian
• Keywords: vozloid, multispletoid, prostorski graf, Kauffmanov oklepajski polinom, Kauffmanov premenjali modul, theta-krivulja, theta-graf

Projects

• Funder: ARRS - Slovenian Research Agency
• Project number: P1-0292
• Name: Topologija in njena uporaba

• Funder: ARRS - Slovenian Research Agency
• Project number: J1-4031
• Name: Računalniška knjižnica za zavozlane strukture in aplikacije