Heavy subsets from microsupports

2024/04/23 by Tomohiro Asano, Asano, Tomohiro
Computer Science · Decision Sciences · Mathematics · #35A27 #53D99 #Advanced Algebra and Logic #FOS: Mathematics #Fuzzy and Soft Set Theory #Rings, Modules, and Algebras #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.2404.15556

openalex publication_date 2024/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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