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math.DG2026
Berezin-Toeplitz Quantization of non-compact manifolds
Louis Ioos, Wen Lu, Xiaonan Ma +1
We develop Berezin-Toeplitz quantization in a non-compact complex geometric setting. Let be a Hermitian manifold, a positive holomorphic line bundle, and $(E,h^E)…
math.DG2026
Bergman kernels and Poincaré series
Louis Ioos, Wen Lu, Xiaonan Ma +1
We show that the Bergman kernel of a finite-volume quotient of a Hermitian manifold with bounded geometry by a discrete group of its isometries is the same as t…