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Heavy subsets from microsupports

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arxiv 2404.15556 v1 pith:VHIT5AVP submitted 2024-04-23 math.SG

classification math.SG
keywords partialsymplecticbundlecharacterizationconstructcotangentcriteriagive
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We construct partial symplectic quasi-states on a cotangent bundle with the use of microlocal sheaf theory. We also give criteria and characterization for heaviness/superheaviness with respect to the partial symplectic quasi-state.

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