12 citations · 41 across the 16 of their papers we have counts for
16 papers
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…
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…
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…
Conjugacy classes of positive -braids
Kui-Yo Chen, Yat-Hin Suen
The conjugacy problem in braid groups has been extensively studied, particularly from an algorithmic perspective. Established methods based on Garside structures, such as initial 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…
Toric vector bundles, non-abelianization, and spectral networks
Yat-Hin Suen
Spectral networks and non-abelianization were introduced by Gaiotto-Moore-Neitzke and they have many applications in mathematics and physics. In a recent work by Nho, he proved tha…
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…
Tropical Lagrangian multi-sections and tropical locally free sheaves
Yat-Hin Suen
This article is a continuation of the work "Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerated Calabi-Yau surfaces". We generalize the notion…
Tropical Lagrangian multi-sections and toric vector bundles
Yat-Hin Suen
We introduce the notion of tropical Lagrangian multi-sections over a fan and study its relation with toric vector bundles. We also introduce a "SYZ-type" construction for toric vec…
Tropical Lagrangian multi-sections and smoothing of locally free sheaves over degenerate Calabi-Yau surfaces
Kwokwai Chan, Ziming Nikolas Ma, Yat-Hin Suen
We introduce the notion of tropical Lagrangian multi-sections over a -dimensional integral affine manifold with singularities, and use them to study the reconstruction probl…
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…
SYZ transforms for immersed Lagrangian multi-sections
Kwokwai Chan, Yat-Hin Suen
In this paper, we study the geometry of the SYZ transform on a semi-flat Lagrangian torus fibration. Our starting point is an investigation on the relation between Lagrangian surge…
On the jumping phenomenon of
Kwokwai Chan, Yat-Hin Suen
Let be a compact complex manifold and be a holomorphic vector bundle on . Given a deformation of the pair over a small polydisk c…
A differential-geometric approach to deformations of pairs
Kwokwai Chan, Yat-Hin Suen
This article gives an exposition of the deformation theory for pairs , where is a compact complex manifold and is a holomorphic vector bundle over , adapting an…
A Frölicher-type inequality for generalized complex manifolds
Kwokwai Chan, Yat-Hin Suen
We prove a Frölicher-type inequality for a compact generalized complex manifold , and show that the equality holds if and only if satisfies the generalized $\partial\bar{\pa…