5 papers
Mirror functor for deformed preprojective algebras
Hansol Hong, Siu-Cheong Lau, Ju Tan
We study localized homological mirror symmetry associated to an immersed Lagrangian brane , possibly equipped with a higher rank flat bundle, of a symplectic manifold $…
Equivariant Partially Wrapped Fukaya Categories on Liouville Sectors
Dongwook Choa, Jiawei Hu, Siu-Cheong Lau +1
We develop an equivariant Lagrangian Floer theory for Liouville sectors that have symmetry of a Lie group . Moreover, for Liouville manifolds with -symmetry, we develop a cor…
Mirror construction of Hecke correspondence between Nakajima quiver varieties
Siu-Cheong Lau, Ju Tan
Nakajima constructed geometric representations of a deformed Kac-Moody Lie algebra using Hecke correspondences between quiver varieties. In this paper, we show that Hecke correspon…
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…
Mirror Construction for Nakajima Quiver Varieties
Jiawei Hu, Siu-Cheong Lau, Ju Tan
In this paper, we construct the ADHM quiver representations and the corresponding sheaves as the mirror objects of formal deformations of the framed immersed Lagrangian sphere deco…