Primality of theta-curves with proper rational tangle unknotting number one
Geometric Topology
2022-01-21 v1
Abstract
We show that if a composite -curve has (proper rational) unknotting number one, then it is the order 2 sum of a (proper rational) unknotting number one knot and a trivial -curve. We also prove similar results for 2-strand tangles and knotoids.
Keywords
Cite
@article{arxiv.2201.08213,
title = {Primality of theta-curves with proper rational tangle unknotting number one},
author = {Kenneth L. Baker and Dorothy Buck and Danielle O'Donnol and Allison H. Moore and Scott Taylor},
journal= {arXiv preprint arXiv:2201.08213},
year = {2022}
}