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arXiv · 2009.12458

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 smooth map (in linear and non-linear settings) and consider its versions such as formal $\hbar$-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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Ekaterina Shemyakova, Theodore Voronov. 2020-09-25. On differential operators over a map, thick morphisms of supermanifolds, and symplectic micromorphisms. https://arxiv.org/abs/2009.12458

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