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arXiv · 2208.00028

Landau-Ginzburg potentials via projective representations

Daniel Labardini-Fragoso·Bea Schumann
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Abstract

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.

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Daniel Labardini-Fragoso, Bea Schumann. 2022-07-29. Landau-Ginzburg potentials via projective representations. https://arxiv.org/abs/2208.00028

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