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

2020/01/06 by Diouf, Ndongo
#FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2001.01779

Abstract

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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