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math.SG2025
Quantization in polarization via transverse Poincaré-Birkhoff-Witt theorem
Dan Wang, Yutung Yau
We construct, for every prequantizable symplectic manifold equipped with a nonsingular polarization, a deformation quantization together wit…
math.DG2025
Quantization of Kähler manifolds via differential operators
Kwokwai Chan, Naichung Conan Leung, Qin Li +1
In this paper, we study the quantization of classical observables (i.e., functions) on a Kähler manifold as differential operators acting on holomorphic sections of tensor powe…
math.SG2025
Quantization commutes with reduction for coisotropic A-branes
Naichung Conan Leung, Ying Xie, Yutung Yau
On a Hamiltonian -manifold , we define the notion of -invariance of coisotropic A-branes . Under neat assumptions, we give a Marsden-Weinstein-Meyer type construction o…