# Berezin-Toeplitz Quantization in Real Polarizations with Toric Singularities

@inproceedings{Leung2021BerezinToeplitzQI, title={Berezin-Toeplitz Quantization in Real Polarizations with Toric Singularities}, author={Naichung Conan Leung and Yutung Yau}, year={2021} }

On a compact Kähler manifold X, Toeplitz operators determine a deformation quantization (C∞(X,C)[[~]], ⋆) with separation of variables [10] with respect to transversal complex polarizations T X, T X as ~ → 0 [15]. The analogous statement is proved for compact symplectic manifolds with transversal non-singular real polarizations [13]. In this paper, we establish the analogous result for transversal singular real polarizations on compact toric symplectic manifolds X. Due to toric singularities…

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