We show the existence of the stack of micro-differential modules on an arbitrary contact manifold, although we cannot expect the global existence of the ring of micro-differential operators.
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Masaki Kashiwara, Quantization of Contact Manifolds . Publ. Res. Inst. Math. Sci. 32 (1996), no. 1, pp. 1–7DOI 10.2977/PRIMS/1195163179