G-Family Polynomials
Geometric Topology
2021-11-12 v2 Quantum Algebra
Abstract
We introduce two notions of quandle polynomials for G-families of quandles: the quandle polynomial of the associated quandle and a G-family polynomial with coefficients in the group ring of G. As an application we define image subquandle polynomial enhancements of the G-family counting invariant for trivalent spatial graphs and handlebody-links. We provide examples to show that the new enhancements are proper.
Cite
@article{arxiv.2103.02710,
title = {G-Family Polynomials},
author = {Sam Nelson and Madeline Brown},
journal= {arXiv preprint arXiv:2103.02710},
year = {2021}
}
Comments
12 pages. To appear in JKTR