Maps from braids to virtual braids and braid representations

2022/10/13 by Manturov, V. O., Nikonov, I. M.
#57K10 #57K12 #FOS: Mathematics #Geometric Topology (math.GT)

paper · doi:10.48550/arxiv.2210.06862

Abstract

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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