Landau-Ginzburg potentials via projective representations
Representation Theory
2022-10-11 v2 Algebraic Geometry
Combinatorics
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.
Keywords
Cite
@article{arxiv.2208.00028,
title = {Landau-Ginzburg potentials via projective representations},
author = {Daniel Labardini-Fragoso and Bea Schumann},
journal= {arXiv preprint arXiv:2208.00028},
year = {2022}
}
Comments
v2 27 pages, some editorial changes