Maps from braids to virtual braids and braid representations

I.M. Nikonov; V.O. Manturov

Maps from braids to virtual braids and braid representations

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arxiv 2210.06862 v2 pith:BCGGAIMP submitted 2022-10-13 math.GT

V.O. Manturov , I.M. Nikonov This is my paper · ORCID

classification math.GT

keywords braidsknottheoryvirtualclassicalrepresentationsappearbraid

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Virtual knot theory has experienced a lot of nice features that did not appear in classical knot theory, e.g., parity and picture-valued invariants. In the present paper we use virtual knot theory effects to construct new representations of classical (pure) braids.

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On geometric bases for A-polynomials II: $\mathfrak{su}_3$ and Kuberberg bracket
hep-th 2025-05 conditional novelty 6.0 of 10

A new arcade-based planarization technique plus the Kuperberg bracket yields a closed system of classical relations toward su3 A-polynomials, demonstrated on the trefoil.

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