English

Thick morphisms of supermanifolds and oscillatory integral operators

Mathematical Physics 2017-07-25 v1 Differential Geometry math.MP Quantum Algebra Symplectic Geometry

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.

Keywords

Cite

@article{arxiv.1506.02417,
  title  = {Thick morphisms of supermanifolds and oscillatory integral operators},
  author = {Theodore Voronov},
  journal= {arXiv preprint arXiv:1506.02417},
  year   = {2017}
}