论文标题
通过投影表示
Landau-Ginzburg potentials via projective representations
论文作者
论文摘要
我们将Landau-Ginzburg的潜力解释为与keel-Keel-Kontsevich的群集品种部分压缩相关的潜力是Jacobian代数的投射表示形式的F-多项式。在此过程中,我们表明,在德克森 - 韦曼·泽列维斯基(Derksen-Weyman-Zelevinsky)的表示突变下,雅各比·菲尼特(Jacobi-Finite)箭的投射和注射式表述都符合潜力。
We interpret the Landau-Ginzburg potentials associated to Gross-Hacking-Keel-Kontsevich's partial compactifications of cluster varieties as F-polynomials of projective representations of Jacobian algebras. Along the way, we show that both the projective and the injective representations of Jacobi-finite quivers with potential are well-behaved under Derksen-Weyman-Zelevinsky's mutations of representations.