YuTung Yau

activity

20212026

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math.SG2026

Limits of quantization from mixed to real polarizations on toric varieties

Dan Wang, Yutung Yau

Let $(M, ω, J)$ be a $2 n$ -dimensional toric variety determined by a Delzant polytope $P$ , whose $T^{n}$ -symmetry determines a real polarization $P_{R}$ . Let $K \…

math.SG2026

Brane quantization of $A_{n}$ -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…

math.DG2026

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…

Limits of quantization from mixed to real polarizations on toric varieties

Brane quantization of An​-resolutions

Brane quantization and SYZ mirror symmetry

Brane quantization of $A_{n}$ -resolutions