Surface-link families with arbitrarily large triple point number
Geometric Topology
2022-12-21 v3
Abstract
Analogous to a classical knot diagram, a surface-link can be generically projected to 3-space and given crossing information to create a broken sheet diagram. The triple point number of a surface-link is the minimal number of triple points among all broken sheet diagrams that lift to that surface-link. This paper generalizes a family of Oshiro to show that there are non-split surface-links of arbitrarily many trivial components whose triple point number can be made arbitrarily large.
Cite
@article{arxiv.2204.13860,
title = {Surface-link families with arbitrarily large triple point number},
author = {Nicholas Cazet},
journal= {arXiv preprint arXiv:2204.13860},
year = {2022}
}