On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms
Differential Geometry
2020-09-29 v1 Mathematical Physics
math.MP
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 -differential operators over a map. We study constructions and examples of such operators, which include pullbacks by thick morphisms and quantization of symplectic micromorphisms.
Keywords
Cite
@article{arxiv.2009.12458,
title = {On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms},
author = {Ekaterina Shemyakova and Theodore Voronov},
journal= {arXiv preprint arXiv:2009.12458},
year = {2020}
}