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arXiv · 2502.06154

The formality of the Goldman-Turaev Lie bialgebra on a closed surface

Toyo Taniguchi
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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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Toyo Taniguchi. 2025-02-10. The formality of the Goldman-Turaev Lie bialgebra on a closed surface. https://arxiv.org/abs/2502.06154

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