On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms

2020/09/25 by Shemyakova, Ekaterina, Voronov, Theodore · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2009.12458

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 ℏ-differential operators over a map. We study constructions and examples of such operators, which include pullbacks by thick morphisms and quantization of symplectic micromorphisms.

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• On graded and shifted notions, and thick morphisms

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