An explicit study of a family of cellular integrals
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866908899042394112 |
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| author | Tosi, Riccardo |
| author_facet | Tosi, Riccardo |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00346 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | An explicit study of a family of cellular integrals Tosi, Riccardo Number Theory 11G55, 11M32 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. |
| title | An explicit study of a family of cellular integrals |
| topic | Number Theory 11G55, 11M32 |
| url | https://arxiv.org/abs/2601.00346 |