The 11-loop graph cohomology
Quantum Algebra
2025-08-20 v1 Algebraic Topology
Abstract
We compute the Kontsevich graph cohomology in loop order 11, and for some degrees in higher loop order. We apply our results to discuss a conjecture of F. Brown, providing a counterexample to a strong version of the conjecture.
Cite
@article{arxiv.2508.13724,
title = {The 11-loop graph cohomology},
author = {Thomas Willwacher},
journal= {arXiv preprint arXiv:2508.13724},
year = {2025}
}