In this talk, we will look at non-commutative versions of Landau-Ginzburg models. More precisely, given a simply connected manifold M such that it's cochain algebra, $C^{*}(M)$, is a pure Sullivan dga, we will consider curved deformations of the algebra       $C_{*}(\Omega M)$ and consider when the category of curved modules over these algebras becomes fully dualizable. For simple manifolds, like products of spheres, we are able to give an explicit criterion, like the Jacobian criterion, for when the resulting category of curved modules is smooth,proper and CY and thus gives rise to a TQFT. We give Floer theoretic interpretations of these theories for projective spaces and their products, which involve defining a Fukaya category which counts holomorphic disks with prescribed tangencies to a divisor.