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arXiv · 2601.00346

An explicit study of a family of cellular integrals

Riccardo Tosi
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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.

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Riccardo Tosi. 2026-01-01. An explicit study of a family of cellular integrals. https://arxiv.org/abs/2601.00346

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