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Guillermou-Kashiwara-Schapira kernels of geodesic flows

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arxiv 2502.19978 v2 pith:R2GZEVM2 submitted 2025-02-27 math.SG

Takumi Arai This is my paper · ORCID
classification math.SG
keywords flowsgeodesicsheafbundlecomplexconstructcotangentexists
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Guillermou--Kashiwara--Schapira proved that there exists a unique sheaf quantization of any homogeneous Hamiltonian isotopy on a cotangent bundle. In this paper, we explicitly construct sheaf quantizations of geodesic flows on spheres and complex projective spaces.

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  1. Hodge microsheaves on cotangent bundles and plumbings

    math.AG 2025-02 conditional novelty 8.0 of 10

    A new category of Hodge microsheaves is defined via gluing mixed Hodge modules, and it reproduces Hain's loop Hodge structure on P^n and gives a mixed-geometric proof of Etgü–Lekili Koszul duality.

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