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Mirror symmetry for the Landau–Ginzburg A-model M=Cn, W=z1⋯zn

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We calculate the category of branes in the Landau-Ginzburg A-model with background $M=\mathbb C^n$ and superpotential $W=z_1 \cdots z_n$ in the form of microlocal sheaves along a natural Lagrangian skeleton.… Click to show full abstract

We calculate the category of branes in the Landau-Ginzburg A-model with background $M=\mathbb C^n$ and superpotential $W=z_1 \cdots z_n$ in the form of microlocal sheaves along a natural Lagrangian skeleton. Our arguments employ the framework of perverse schobers, and our results confirm expectations from mirror symmetry.

Keywords: symmetry landau; landau ginzburg; ginzburg model; mirror symmetry

Journal Title: Duke Mathematical Journal
Year Published: 2019

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