Connected sum and crossing numbers of flat virtual knots
Geometric Topology
2024-07-26 v2
Abstract
The connected sum of two flat virtual knots depends on the choice of diagrams and basepoints. We show that any minimal crossing diagram of a composite flat virtual knot is a connected sum diagram. We also show the crossing number of flat virtual knots is super-additive under connected sum.
Cite
@article{arxiv.2312.03994,
title = {Connected sum and crossing numbers of flat virtual knots},
author = {Jie Chen},
journal= {arXiv preprint arXiv:2312.03994},
year = {2024}
}