English

Tait coloring and a moduli space

Geometric Topology 2021-11-23 v1

Abstract

We associate a moduli space M(G) to a planar trivalent graph G. We proved several decomposition properties of M(G), which implies that the Euler characteristic of M(G) equals to the number of Tait colorings of G when G is bipartite. Then we interpret M(G) as a representation space of the fundamental group of G to SU(3).

Keywords

Cite

@article{arxiv.2111.10567,
  title  = {Tait coloring and a moduli space},
  author = {ZIpei Zhuang},
  journal= {arXiv preprint arXiv:2111.10567},
  year   = {2021}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-24T07:45:45.707Z