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

Ekaterina Shemyakova, Theodore Voronov

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Abstract

We recall the notion of a differential operator over a 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 operators arising as quantization of symplectic micromorphisms.
Original languageEnglish
Pages (from-to)101704
JournalDifferential Geometry and its Application
Volume74
Early online date12 Nov 2020
DOIs
Publication statusPublished - 1 Feb 2021

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