On Vassiliev invariants of virtual knots
| Authors |
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|---|---|
| Publication date | 15-06-2024 |
| Journal | Topology and its Applications |
| Article number | 108935 |
| Volume | Issue number | 351 |
| Number of pages | 23 |
| Organisations |
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| Abstract | We discuss Vassiliev invariants for virtual knots, expanding upon the theory of quantum virtual knot invariants developed in [1]. In particular, following the theory of quantum invariants we work with ‘rotational’ virtual knots. We define chord diagrams, weight systems, and give examples of Lie algebra weight systems of rotational virtual knots. We end with a discussion of extended quantum invariants, which capture information that standard quantum invariants of rotational virtuals cannot. |
| Document type | Article |
| Note | Publisher Copyright: © 2024 The Author(s) |
| Language | English |
| Published at | https://doi.org/10.1016/j.topol.2024.108935 |
| Other links | https://www.scopus.com/pages/publications/85193030945 |
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