Thick morphisms of supermanifolds and oscillatory integral operators

Abstract

We show that thick morphisms (or microformal morphisms) between smooth (super)manifolds, introduced by us before, are classical limits of `quantum thick morphisms' defined here as particular oscillatory integral operators on functions.

Cited by in corpus (6)

• Graded Geometry, $Q$-Manifolds, and Microformal Geometry
• "Nonlinear pullbacks" of functions and $L_{\infty }$-morphisms for homotopy Poisson structures
• Microformal geometry and homotopy algebras
• Tangent functor on microformal morphisms, and non-linear pullbacks for forms and cohomology
• Thick morphisms of supermanifolds, quantum mechanics, and spinor representation
• A Graphical Calculus for Classical and Quantum Microformal Morphisms