论文标题

在地图上的差分操作员上

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

论文作者

Shemyakova, Ekaterina, Voronov, Theodore

论文摘要

我们回想起差分运算符在平滑地图(以线性和非线性设置中)的概念,并考虑其版本,例如正式的$ \ hbar $ -differential Operators在地图上。我们研究了此类操作员的结构和示例,其中包括通过厚实的态度回调和汇总微型形态的量化。

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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