Virtual Rational Tangles
Geometric Topology
2022-07-20 v2
Abstract
We use Kauffman's bracket polynomial to define a complex-valued invariant of virtual rational tangles that generalizes the well-known fraction invariant for classical rational tangles. We provide a recursive formula for computing the invariant, and use it to compute several examples.
Cite
@article{arxiv.1805.12072,
title = {Virtual Rational Tangles},
author = {Blake Mellor and Sean Nevin},
journal= {arXiv preprint arXiv:1805.12072},
year = {2022}
}
Comments
11 pages; version 2 makes minor changes, and includes a proof that Kauffman's bracket polynomial is invariant under classical and virtual flypes