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arXiv · 2001.01779

On the boundary algebras of the Jacobian algebras of the bordered marked surfaces

Ndongo Diouf
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Abstract

Given $\sigma$ a triangulation of bordered surface with marked points and punctures $(S, M)$, we associate an ice quiver with potential $(Q_{\sigma}, W_{\sigma}, F)$ and define the corresponding Jacobian algebra $\Gamma_{\sigma}$. We show that the boundary algebra $B(\sigma)$ of $\Gamma_{\sigma}$ depends only on the surface $(S, M)$.

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Ndongo Diouf. 2020-01-06. On the boundary algebras of the Jacobian algebras of the bordered marked surfaces. https://arxiv.org/abs/2001.01779

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