Picture-valued parity-biquandle bracket II. Examples
Geometric Topology
2019-11-20 v1
Abstract
In [3] we constructed the parity-biquandle bracket valued in {\em pictures} (linear combinations of -valent graphs). We gave no example of classical links such that the parity-biquandle bracket of which is not trivial. In the present paper we slightly change the notation of the parity-biquandle bracket and give examples of knots and links having a non-trivial parity-biquandle bracket. As a result we get the minimality theorem. This is the first evidence that graphs (link shadows) appear as invariants of link diagrams instead of just polynomials groups and other tractable objects.
Keywords
Cite
@article{arxiv.1911.07843,
title = {Picture-valued parity-biquandle bracket II. Examples},
author = {Denis P. Ilyutko and Vassily O. Manturov},
journal= {arXiv preprint arXiv:1911.07843},
year = {2019}
}
Comments
16 pages, 15 figures