On the boundary algebras of the Jacobian algebras of the bordered marked surfaces
Given $σ$ a triangulation of bordered surface with marked points and punctures $(S, M)$, we associate an ice quiver with potential $(Q_σ, W_σ, F)$ and define the corresponding Jacobian algebra $Γ_σ$. We show that the boundary algebra $B(σ)$ of $Γ_σ$ depends only on the surface $(S, M)$.
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