12 citations · 41 across the 16 of their papers we have counts for
6 papers · 1 filter
Brane quantization of -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…
Multi-valued Morse homotopy for the SYZ mirror of the complex projective plane
Hayato Nakanishi, Yat-Hin Suen
We propose a definition of the category of multi-valued Morse homotopy on consisting of multi-valued functions associated to Lagrangian multi-s…
Fukaya's immersed Lagrangian Floer theory and microlocalization of Fukaya category
Yong-Geun Oh, Yat-Hin Suen
Let be the Fukaya category in the Fukaya's immersed Lagrangian Floer theory \cite{fukaya:immersed} which is generated by immersed Lagrangian submanifolds wit…
Lagrangian multi-sections and their toric equivariant mirror
Yong-Geun Oh, Yat-Hin Suen
The SYZ conjecture suggests a folklore that "Lagrangian multi-sections are mirror to holomorphic vector bundles". In this paper, we prove this folklore for Lagrangian multi-section…
Reconstruction of via tropical Lagrangian multi-section
Yat-Hin Suen
In this paper, we study the reconstruction problem of the holomorphic tangent bundle of the complex projective plane . We introduce the no…
Geometric quantization via SYZ transforms
Kwokwai Chan, Yat-Hin Suen
The so-called quantization problem in geometric quantization is asking whether the space of wave functions is independent of the choice of polarization. In this paper, we apply SYZ…