Noncommutative Geometry Seminar

I will discuss the bulk algebra and topological D-brane category arising from the differential model of the open-closed B-type topological Landau-Ginzburg theory defined by a pair (X; W), where X is a non-compact Calabi-Yau manifold and W a holomorphic function with compact critical set. When X is a Stein manifold the D-brane category can be described by projective matrix factorizations defined over the ring of holomorphic functions of X. Further simplification can be made when X is holomorphically parallelizable.