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Guillermou-Kashiwara-Schapira kernels of geodesic flows

Symplectic Geometry 2025-02-28 v1

Abstract

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 a sheaf quantization of geodesic flows on spheres and complex projective spaces.

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Cite

@article{arxiv.2502.19978,
  title  = {Guillermou-Kashiwara-Schapira kernels of geodesic flows},
  author = {Takumi Arai},
  journal= {arXiv preprint arXiv:2502.19978},
  year   = {2025}
}

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29 pages