Direct construction of higher-genus KV associators from Gonzalez-Drinfeld associators via generalization of Massuyeau's genus-0 proof, determining framings with genus-1 restrictions.
On Associators and the Grothendieck-Teichmuller Group I
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abstract
We present a formalism within which the relationship (discovered by Drinfel'd) between associators (for quasi-triangular quasi-Hopf algebras) and (a variant of) the Grothendieck-Teichmuller group becomes simple and natural, leading to a simplification of Drinfel'd's original work. In particular, we re-prove that rational associators exist and can be constructed iteratively, though the proof itself still depends on the apriori knowledge that a not-necessarily-rational associator exists.
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math.QA 1years
2025 1verdicts
UNVERDICTED 1representative citing papers
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Drinfeld associators and Kashiwara-Vergne associators in higher genera
Direct construction of higher-genus KV associators from Gonzalez-Drinfeld associators via generalization of Massuyeau's genus-0 proof, determining framings with genus-1 restrictions.