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The question arises from a paper The heat flow for the full bosonic string, Ann. Global Anal. Geom. 50 (2016). In line 4, Page 362, the author claimed the following inequality which looks similar to ...

Let $M$ be a smooth manifold. I have been trying to figure out from the literature I know whether (any flavor of) pseudo-differential operators form a sheaf of algebras (w.r.t. the usual topology on ...