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Invariants of virtual links and twisted links using affine indices

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arxiv 2312.05489 v3 pith:GYG22TRL submitted 2023-12-09 math.GT

Naoko Kamada , Seiichi Kamada This is my paper · ORCID
classification math.GT
keywords invariantslinksaffineindicesvirtualtwistedassignedcall
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abstract

The affine index polynomial and the $n$-writhe are invariants of virtual knots which are introduced by Kauffman and by Satoh and Taniguchi independently. They are defined by using indices assigned to each classical crossing, which we call affine indices in this paper. We discuss a relationship between the invariants and generalize them to invariants of virtual links. The invariants for virtual links can be also computed by using cut systems. We also introduce invariants of twisted links by using affine indices.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Classification of virtual links by arc shift move

    math.GT 2025-02 reject novelty 6.0 of 10

    The paper claims virtual links with all pairwise virtual linking numbers even can be unknotted by arc shifts, and that all other links are classified by the parity pattern of these numbers.

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