Functorial maps and weak parities
Geometric Topology
2012-11-05 v1
Abstract
Functorial maps and weak parities are equivalent descriptions of rules of substitution virtual crossings for classical in diagrams of a knot in a way compatible with Reidemeister moves. We introduce the notion of maximal weak parity and describe it for knots in a given closed oriented surface. This weak parity defines a projection from virtual knots to classical knots.
Keywords
Cite
@article{arxiv.1211.0403,
title = {Functorial maps and weak parities},
author = {Igor Nikonov},
journal= {arXiv preprint arXiv:1211.0403},
year = {2012}
}
Comments
in Russian