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double lie bimodule 1goldman-turaev 1intersection operations 1lie bialgebra 1surface decomposition 1

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math.GT2026

Splitting the Goldman-Turaev Lie bialgebra along a simple separating curve

Liam Ashton, Manuel Rivera

The paper introduces double Lie bimodules and uses them to decompose the Goldman‑Turaev Lie bialgebra of a surface when the surface is cut along a simple separating closed curve.