Unique diagram of a spatial arc and the knotting probability
Geometric Topology
2019-07-25 v1
Abstract
It is shown that the projection image of an oriented spatial arc to any oriented plane is approximated by a unique arc diagram (up to isomorphic arc diagrams) determined from the spatial arc and the projection. In a separated paper, the knotting probability of an arc diagram is defined as an invariant under isomorphic arc diagrams. By combining them, the knotting probability of every oriented spatial arc is defined.
Cite
@article{arxiv.1907.10194,
title = {Unique diagram of a spatial arc and the knotting probability},
author = {Akio Kawauchi},
journal= {arXiv preprint arXiv:1907.10194},
year = {2019}
}