Flat-virtual knot: introduction and some invariants

Published 17 Mar 2024 in math.GT | (2406.12864v1)

Abstract: The motivation for this work is to construct a map from classical knots to virtual ones. What we get in the paper is a series of maps from knots in the full torus (thickened torus) to flat-virtual knots. We give definition of flat-virtual knots and presents Alexander-like polynomial and (picture-valued) Kauffman bracket for them.

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