Compactifications of spaces of Landau-Ginzburg models

Abstract

This paper reviews results and techniques from the authors' previous work "Symplectomorphism group relations and degenerations of Landau-Ginzburg models" and applies them in basic examples. The main example is the $A_n$ category where we observe a relationship to stability conditions and directed quiver representations. We conclude with a brief survey of applications to the birational geometry of del Pezzo surfaces.

20 pages, 6 figures

References in corpus (3)

• Mirror symmetry and T-duality in the complement of an anticanonical divisor
• Compact moduli of hyperplane arrangements
• Chow Quotients of Toric Varieties as Moduli of Stable Log Maps

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• Monodromy of monomially admissible Fukaya-Seidel categories mirror to toric varieties
• Modularity of Landau-Ginzburg models