We calculate the category of branes in the Landau–Ginzburg -model with background and superpotential 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.
"Mirror symmetry for the Landau–Ginzburg -model , ." Duke Math. J. 168 (1) 1 - 84, 15 January 2019. https://doi.org/10.1215/00127094-2018-0036