Completing the $c_2$ completion conjecture for $p=2$
Combinatorics
2022-06-16 v1 Mathematical Physics
math.MP
Abstract
The -invariant is an arithmetic graph invariant useful for understanding Feynman periods. Brown and Schnetz conjectured that the -invariant has a particular symmetry known as completion invariance. This paper will prove completion invariance of the -invariant in the case, extending previous work of one of us. The methods are combinatorial and enumerative involving counting certain partitions of the edges of the graph.
Keywords
Cite
@article{arxiv.2206.07223,
title = {Completing the $c_2$ completion conjecture for $p=2$},
author = {Simone Hu and Karen Yeats},
journal= {arXiv preprint arXiv:2206.07223},
year = {2022}
}
Comments
29 pages, results first appeared in arXiv:2206.04749, all comments welcome!