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Involutivity of truncated microsupports

Masaki Kashiwara·Teresa Monteiro Fernandes·Pierre Schapira
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Abstract

Using a result of J-M. Bony, we prove the weak involutivity of truncated microsupports. More precisely, given a sheaf $F$ on a real manifold and an integer $k$, if two functions vanish on the truncated microsupport $Ss_k(F)$, then so does their Poisson bracket.

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Masaki Kashiwara, Teresa Monteiro Fernandes, Pierre Schapira. 2002-05-18. Involutivity of truncated microsupports. https://arxiv.org/abs/math/0205200

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