8 papers
Limits of quantization from mixed to real polarizations on toric varieties
Dan Wang, Yutung Yau
Let be a -dimensional toric variety determined by a Delzant polytope , whose -symmetry determines a real polarization . Let $K \…
Brane quantization of -resolutions
Yat-Hin Suen, Yutung Yau
We extend the study of brane quantization via SYZ mirror symmetry to the setting of singular fibers, building on recent joint work with Chan, Leung, and Li in the semi-flat case. W…
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 pow…
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…
Brane quantization and SYZ mirror symmetry
Kwokwai Chan, Naichung Conan Leung, Qin Li +2
Coisotropic A-branes were introduced by Kapustin--Orlov to enlarge the Fukaya category of a symplectic manifold in a way that aligns with predictions from homological mirror symmet…
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^{\o…