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Abstract: It is proved that Drinfel-d-s pentagon equation implies the generalizeddouble shuffle relation. As a corollary, an embedding from theGrothendieck-Teichm\-uller group $GRT 1$ into Racinet-s double shuffle group$DMR 0$ is obtained, which settles the project of Deligne-Terasoma. It is alsoproved that the gamma factorization formula follows from the generalized doubleshuffle relation.



Author: Hidekazu Furusho

Source: https://arxiv.org/



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