Dan Wang

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math.SG2025

Quantization in mixed polarization via transverse PoincarÃ©-Birkhoff-Witt theorem

Dan Wang, Yutung Yau

On a prequantizable KÃ¤hler manifold $(M, I ¨ , L)$ , Chan-Leung-Li constructed a genuine (non-asymptotic) action of a subalgebra of the Berezin-Toeplitz star product on $H^0(M, L^{\o…

math.SG2025

A new look at unitarity in quantization commutes with reduction for toric manifolds

JosÃ© M. MourÃ£o, José M. Mourão, JoÃ£o P. Nunes +3

For a symplectic toric manifold we consider half-form quantization in mixed polarizations $P_{\infty}$ , associated to the action of a subtorus $T^{p} \subset T^{n}$ . The real di…

math.SG2024

Quantum spaces associated to mixed polarizations and their limiting behavior on toric varieties

Dan Wang

Let $(X, I ¨ , J)$ be a toric variety of dimension $2 n$ determined by a Delzant polytope $P$ . As indicated in [40], $X$ admits a natural mixed polarization $P_{k}$ , induced…