From the 1 of 10 linked papers with an AI index.
10 papers
Mirror symmetry in 3d in 3d mirror symmetry
Naichung Conan Leung, Mengqi Yang
The paper studies hyperkähler intermediate Jacobians of a compact Calabi–Yau threefold and shows how they define 3‑dimensional Rozansky‑Witten theories that are related by a 3d mir…
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…
Lagrangian Intersections, Symplectic Reduction and Kirwan Surjectivity
Naichung Conan Leung, Ying Xie, Yu Tung Yau
Given a smooth holomorphic symplectic variety with a Hamiltonian -action, -invariant Lagrangians induce Lagrangians in the symplectic quotient . Given clean…
Grassmannian perspectives of classical Lie groups and Cartan involutions
Yunxia Chen, Naichung Conan Leung
Classical noncompact reductive Lie group admits a compactification as a Riemannian symmetric space by He. First, we provide a unified construction of these compa…