Flat-virtual knot: introduction and some invariants
Geometric Topology
2024-06-21 v1
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.
Cite
@article{arxiv.2406.12864,
title = {Flat-virtual knot: introduction and some invariants},
author = {V. O. Manturov and I. M. Nikonov},
journal= {arXiv preprint arXiv:2406.12864},
year = {2024}
}