关于加边标记曲面的Jacobi代数的边界代数
On the boundary algebras of the Jacobian algebras of the bordered marked surfaces
摘要：
给定$σ$是一个带有标记点和穿孔的有边曲面的三角剖分$(S, M)$，我们将一个冰形与位势$(Q_σ, W_σ, F)$联系起来，并定义了相应的雅可比代数$Γ_σ$。我们证明了$Γ_σ$的边界代数$B(σ)$只依赖于表面$(S, M)$。
英文摘要：
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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