Intersection formulas for parities on virtual knots
Geometric Topology
2021-10-19 v1
Abstract
We prove that parities on virtual knots come from invariant 1-cycles on the arcs of knot diagrams. In turn, the invariant cycles are determined by quasi-indices on the crossings of the diagrams. The found connection between the parities and the (quasi)-indices allows to define a new series of parities on virtual knots.
Cite
@article{arxiv.2110.08392,
title = {Intersection formulas for parities on virtual knots},
author = {Igor Nikonov},
journal= {arXiv preprint arXiv:2110.08392},
year = {2021}
}