On invariants of multiplexed virtual links (Q6631485)
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scientific article; zbMATH DE number 7937611
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On invariants of multiplexed virtual links |
scientific article; zbMATH DE number 7937611 |
Statements
On invariants of multiplexed virtual links (English)
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1 November 2024
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A CF-move, introduced by \textit{T. Oikawa} [J. Knot Theory Ramifications 18, No. 11, 1577--1596 (2009; Zbl 1181.57010)], is a local move on Gauss diagrams that can be obtained by performing a forbidden move and crossing changes. It serves as an unknotting operation for virtual knots. Oikawa introduced an \(n\)-invariant for \(2\)-component virtual links and classified these links up to CF-moves using the virtual linking number and the \(n\)-invariant.\N\NIn this paper, the author extends this result by introducing two invariants for \(3\)-component even virtual links. Using these invariants and virtual linking numbers, the author classifies \(3\)-component virtual links up to CF-moves.
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virtual knot
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virtual link
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writhe
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linking number
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virtual \(n\)-coloring
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