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Article Dans Une Revue Mémoires de la Société Mathématique de France Année : 2023

Ellipsitomic Associators

Associateurs ellipsitomiques

Martin Gonzalez

Résumé

We develop a notion of ellipsitomic associators by means of operad theory. We take this opportunity to review the operadic point-of-view on Drinfeld associators and to provide such an operadic approach for elliptic associators too. We then show that ellipsitomic associators do exist, using the monodromy of the universal ellipsitomic KZB connection, that we introduced in a previous work. We finally relate the KZB ellipsitomic associator to certain Eisenstein series associated with congruence subgroups of $SL_2(\mathbb{Z})$, and to twisted elliptic multiple zeta values.

Dates et versions

hal-02564546 , version 1 (05-05-2020)

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Damien Calaque, Martin Gonzalez. Ellipsitomic Associators. Mémoires de la Société Mathématique de France, 2023, 179, 96p. ⟨10.24033/msmf.487⟩. ⟨hal-02564546⟩
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