Lie Ideal Enhancements of Counting Invariants
Geometric Topology
2015-07-29 v2 Quantum Algebra
Abstract
We define enhancements of the quandle counting invariant for knots and links with a finite labeling quandle Q embedded in the quandle of units of a Lie algebra \mathfrak{a} using Lie ideals. We provide examples demonstrating that the enhancement is stronger than the associated unenhanced counting invariant.
Cite
@article{arxiv.1404.5642,
title = {Lie Ideal Enhancements of Counting Invariants},
author = {Gillian Roxanne Grindstaff and Sam Nelson},
journal= {arXiv preprint arXiv:1404.5642},
year = {2015}
}
Comments
9 pages. Version 2 includes changes suggested by referee