2 citations · 3 across the 11 of their papers we have counts for
11 papers
Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
Wonbo Jeong, Dogancan Karabas, Sangjin Lee
We study Ginzburg dg algebras which appear at the intersection of representation theory and symplectic topology. First, we provide a collection of proper modules that generates all…
Generation of immersed Lagrangians by cocores
Wonbo Jeong, Dogancan Karabas, Sangjin Lee
We extend the generation theorem of Chantraine--Dimitroglou Rizell--Ghiggini--Golovko to exact Lagrangian immersions in Weinstein manifolds. We prove that an exact Lagrangian immer…
Geometric models of simple Lie algebras via singularity theory
Cheol-Hyun Cho, Wonbo Jeong, Beom-Seok Kim
It is well-known that ADE Dynkin diagrams classify both the simply-laced simple Lie algebras and simple singularities. We introduce a polygonal wheel in a plane for each case of AD…
Vanishing arcs for isolated plane curve singularities
Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa +2
The variation operator associated with an isolated hypersurface singularity is a classical topological invariant that relates relative and absolute homologies of the Milnor fiber v…
Berglund-Hübsch mirrors of invertible curve singularities via Floer theory
Cheol-Hyun Cho, Dongwook Choa, Wonbo Jeong
We find a Floer theoretic approach to obtain the transpose polynomial of an invertible curve singularity . This gives an intrinsic construction of the mirror transpose pol…
Floer theory for the variation operator of an isolated singularity
Hanwool Bae, Cheol-Hyun Cho, Dongwook Choa +1
The variation operator in singularity theory maps relative homology cycles to compact cycles in the Milnor fiber using the monodromy. We construct its symplectic analogue for an is…
Calabi-Yau structures on Rabinowitz Fukaya categories
Hanwool Bae, Wonbo Jeong, Jongmyeong Kim
In this paper, we prove that the derived Rabinowitz Fukaya category of a Liouville domain of dimension is -Calabi--Yau assuming the wrapped Fukaya category of a…
Cluster categories from Fukaya categories
Hanwool Bae, Wonbo Jeong, Jongmyeong Kim
We show that the derived wrapped Fukaya category , the derived compact Fukaya category and the cocore disks of th…
Homological mirror symmetry of indecomposable Cohen-Macaulay modules for some degenerate cusp singularities
Cheol-Hyun Cho, Wonbo Jeong, Kyoungmo Kim +1
Burban-Drozd showed that the degenerate cusp singularities have tame Cohen-Macaulay representation type, and classified all indecomposable Cohen-Macaulay modules over them. One of…
On Categorical Entropy from the viewpoint of Symplectic Topology
Hanwool Bae, Dongwook Choa, Wonbo Jeong +2
In this paper, motivated by symplectic topology, we explore categorical entropy and present two main results. The first result establishes a relation between categorical entropies…
Fukaya category for Landau-Ginzburg orbifolds
Cheol-Hyun Cho, Dongwook Choa, Wonbo Jeong
For a weighted homogeneous polynomial and a choice of a diagonal symmetry group, we define a new Fukaya category for a Landau-Ginzburg orbifold (of Fano or Calabi-Yau type). The co…