New examples of Brunnian theta graphs
Geometric Topology
2016-08-31 v2
Abstract
The Kinoshita graph is the most famous example of a Brunnian theta graph, a nontrivial spatial theta graph with the property that removing any edge yields an unknot. We produce a new family of diagrams of spatial theta graphs with the property that removing any edge results in the unknot. The family is parameterized by a certain subgroup of the pure braid group on four strands. We prove that infinitely many of these diagrams give rise to non-isotopic Brunnian theta graphs.
Keywords
Cite
@article{arxiv.1508.03014,
title = {New examples of Brunnian theta graphs},
author = {Byoungwook Jang and Anna Kronaeur and Pratap Luitel and Daniel Medici and Scott A. Taylor and Alexander Zupan},
journal= {arXiv preprint arXiv:1508.03014},
year = {2016}
}
Comments
Accepted by Involve