Parity on based matrices
Geometric Topology
2021-10-12 v1
Abstract
A parity is a labeling of the crossings of knot diagrams which is compatible with Reidemeister moves. We define the notion of parity for based matrices -- algebraic objects introduced by V. Turaev in his research of virtual strings. We present the reduced stable parity on based matrix which gives a new example of a parity of virtual knots.
Cite
@article{arxiv.2110.04915,
title = {Parity on based matrices},
author = {Igor Nikonov},
journal= {arXiv preprint arXiv:2110.04915},
year = {2021}
}
Comments
The paper is an updated version of the talk on the 5th China-Russia Workshop on Knot Theory and Related Topics, Dalian, 2018