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math.DG2020★ 1 cited
Spectral convergence in geometric quantization on surfaces
Kota Hattori
We study the geometric quantization on surfaces from the viewpoint of the spectral convergence. We take a special Lagrangian fibrations on the surfaces and a family of hy…
math.DG2020★ 2 cited
Spectral convergence in geometric quantization --- the case of toric symplectic manifolds
Kota Hattori, Mayuko Yamashita
In this paper, we show the spectral convergence result of -Laplacians when is a compact toric symplectic manifold equipped with the natural prequantum…