BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Linearization of the Goldman-Turaev BV algebra using Kashiwara-Vergne theory Naef, Florian


Using local intersections, Goldman and Turaev defined a BV operator on the exterior algebra of homotopy classes of loops on a surface. On a genus zero surface with three boundary components the linearization problem of this structure is equivalent to the Kashiwara-Vergne problem in Lie theory. Motivated by this result a generalization of the Kashiwara-Vergne problem in higher genera is proposed and solutions are constructed in analogy with elliptic associators. This is joint work with A. Alekseev, N. Kawazumi and Y. Kuno.

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