An explicit study of a family of cellular integrals
Number Theory
2026-03-20 v2
Abstract
We express a family of basic cellular integrals over moduli spaces of curves explicitly in terms of multiple zeta values, answering a question of Brown. Moreover, we study a priori the weights appearing in these integrals and find a relation that expresses the odd-dimensional integrals in terms of the even-dimensional ones. We also sketch an explanation of this relation in the spirit of Grothendieck's Period Conjecture.
Keywords
Cite
@article{arxiv.2601.00346,
title = {An explicit study of a family of cellular integrals},
author = {Riccardo Tosi},
journal= {arXiv preprint arXiv:2601.00346},
year = {2026}
}
Comments
36 pages. Corrected a mistake in the statement of the main result due to a wrong definition of $\psi_n$ in Section 2.4. Comments welcome!