Invariants of Multi-Linkoids

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Güğümcü, Neslihan

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Abstract

In this paper, we extend the definition of a knotoid to multilinkoids 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 T-graphs.

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Keywords

Knotoid, multi-linkoid, spatial graph, Kauffman bracket polynomial, Kauffman bracket skein module, theta-curve, theta-graph, Knots, Knotoids, theta-graf, multi-linkoid, multispletoid, prostorski graf, Kauffmanov premenjali modul, info:eu-repo/classification/udc/515.162, vozloid, multi-spletoid, prostorski graf, Kauffmanov oklepajski polinom, Kauffmanov premenjali modul, theta-krivulja, theta-graf, multi-spletoid, Geometric Topology (math.GT), theta-graph, knotoid, multi-linkoid, spatial graph, Kauffman bracket polynomial, Kauffman bracket skein module, theta-curve, theta-graph, spatial graph, Kauffman bracket polynomial, knotoid, Kauffman bracket skein module, info:eu-repo/classification/udc/515.1, Mathematics - Geometric Topology, theta-curve, vozloid, FOS: Mathematics, Kauffmanov oklepajski polinom, theta-krivulja

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0102 computer and information sciences, 01 natural sciences, 0101 mathematics

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20

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3

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7

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422

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158

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