53 citations · 500 across the 103 of their papers we have counts for
26 papers · 1 filter
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…
2d Mirrors in nonabelian 3d Mirror Symmetry
Ki Fung Chan, Naichung Conan Leung
We establish a connection between (nonabelian) equivariant 2d mirror symmetry and the geometry of Coulomb branches. In the context of 3d mirror symmetry, a Hamiltonian -manifold…
Equivariant Lagrangian correspondence and a conjecture of Teleman
Siu-Cheong Lau, Nai-Chung Conan Leung, Yan-Lung Leon Li
In this paper, we study the Floer theory of equivariant Lagrangian correspondences and apply it to derive precise relations between the disc potential of an invariant Lagrangian su…
Limit of geometric quantizations on Kähler manifolds with T-symmetry
Naichung Conan Leung, Dan Wang
A compact Kähler manifold with -symmetry admits a natural mixed polarization whose real directions come from the -action.…
Hidden Sp(1)-Symmetry and Brane Quantization on HyperKähler manifolds
NaiChung Conan Leung, YuTung Yau
For a fixed prequantum line bundle over a hyperKähler manifold , we find a natural -action on intertwining a twistor family of $\operatorna…
Geometric quantizations of mixed polarizations on Kähler manifolds with T-symmetry
Naichung Conan Leung, Dan Wang
Let be a compact Kähler manifold equipped with a pre-quantum line bundle . In [9], using -symmetry, we constructed a polarization on , whi…