  We study the bicategory of Landau-Ginzburg models, which has potentials as
objects and matrix factorisations as 1-morphisms. Our main result is the
existence of adjoints in this bicategory and a description of evaluation and
coevaluation maps in terms of Atiyah classes and homological perturbation. The
bicategorical perspective offers a unified approach to Landau-Ginzburg models:
we show how to compute arbitrary correlators and recover the full structure of
open/closed TFT, including the Kapustin-Li disk correlator and a simple proof
of the Cardy condition, in terms of defect operators which in turn are directly
computable from the adjunctions.
