Computing Euler characteristics using quantum field theory
Group Theory
2025-04-23 v2 High Energy Physics - Theory
Mathematical Physics
Combinatorics
math.MP
Abstract
This paper explains how to use quantum field theory techniques to find formal power series that encode the virtual Euler characteristics of and related graph complexes. Finding such power series was a necessary step in the asymptotic analysis of carried out in the authors' previous paper.
Keywords
Cite
@article{arxiv.2202.08739,
title = {Computing Euler characteristics using quantum field theory},
author = {Michael Borinsky and Karen Vogtmann},
journal= {arXiv preprint arXiv:2202.08739},
year = {2025}
}
Comments
13 pages, many figures; v2: final accepted manuscript with corrected typos