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The formality of the Goldman-Turaev Lie bialgebra on a closed surface
Published 10 Feb 2025 in math.QA, math.AT, math.GT, and math.RA | (2502.06154v2)
Abstract: We reformulate the Kashiwara-Vergne groups and associators in higher genera, introduced in Alekseev-Kawazumi-Kuno-Naef, in terms of non-commutative connections using the tools developed in a previous paper. As the main result, the case of closed surfaces is dealt with to determine the pro-unipotent automorphism group of the associated graded of the Goldman-Turaev Lie bialgebra.
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