3 papers
math.SG2025
Quantization in mixed polarization via transverse Poincaré-Birkhoff-Witt theorem
Dan Wang, Yutung Yau
On a prequantizable Kähler manifold , Chan-Leung-Li constructed a genuine (non-asymptotic) action of a subalgebra of the Berezin-Toeplitz star product on $H^0(M, L^{\oti…
math.SG2021
Berezin-Toeplitz Quantization in Real Polarizations with Toric Singularities
NaiChung Conan Leung, YuTung Yau
On a compact Kähler manifold , Toeplitz operators determine a deformation quantization with separation of variables [1…
math.SG2021
Deformation quantization via Toeplitz operators on geometric quantization in real polarizations
Naichung Conan Leung, Yutung Yau
In this paper, we study quantization on a compact integral symplectic manifold with transversal real polarizations. In the case of complex polarizations, namely is Kähler e…