The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant
Geometric Topology
2014-12-25 v1
Abstract
When the signed weighted resolution set was defined as an invariant of pseudoknots, it was unknown whether this invariant was complete. Using the Gauss-diagrammatic invariants of pseudoknots introduced by Dorais et al, we show that the signed were-set cannot distinguish all non-equivalent pseudoknots. This goal is achieved through studying the effects of a flype-like local move on a pseudodiagram.
Cite
@article{arxiv.1412.7722,
title = {The Signed Weighted Resolution Set is Not a Complete Pseudoknot Invariant},
author = {Allison Henrich and Slavik Jablan and Inga Johnson},
journal= {arXiv preprint arXiv:1412.7722},
year = {2014}
}
Comments
8 pages, 11 figures