On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms (2009.12458v1)

Abstract: We recall the notion of a differential operator over a smooth map (in linear and non-linear settings) and consider its versions such as formal $\hbar$-differential operators over a map. We study constructions and examples of such operators, which include pullbacks by thick morphisms and quantization of symplectic micromorphisms.