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Takumi Arai

Publications and source records attributed to Takumi Arai.

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Guillermou-Kashiwara-Schapira kernels of geodesic flows

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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