Differential algebra of cubic planar graphs
Combinatorics
2017-05-05 v2 Mathematical Physics
Geometric Topology
math.MP
Symplectic Geometry
Abstract
In this article we associate a combinatorial differential graded algebra to a cubic planar graph G. This algebra is defined combinatorially by counting binary sequences, which we introduce, and several explicit computations are provided. In addition, in the appendix by K. Sackel the F(q)-rational points of its graded augmentation variety are shown to coincide with (q+1)-colorings of the dual graph.
Cite
@article{arxiv.1705.01034,
title = {Differential algebra of cubic planar graphs},
author = {Roger Casals and Emmy Murphy},
journal= {arXiv preprint arXiv:1705.01034},
year = {2017}
}
Comments
33 pages, 22 figures