Goldman-type Lie algebras from knots
Geometric Topology
2023-05-02 v3
Abstract
We define Lie algebras from a class of knots in a homology 3-sphere. Since the definitions in terms of group homology are analogous to Goldman Lie algebra \cite{Gold}, we discuss relations among these Lie algebras.
Cite
@article{arxiv.2108.10975,
title = {Goldman-type Lie algebras from knots},
author = {Takefumi Nosaka},
journal= {arXiv preprint arXiv:2108.10975},
year = {2023}
}
Comments
The main theorem is due to a duality theorem in another paper; however, the proof of the duality might be suspicious. So I decided to delete this preprint. If I find a proof for the duality, I might introduce the results as another paper