2 citations · 3 across the 9 of their papers we have counts for
9 papers
Lagrangian classes in K-theory
Dongwook Choa, Jeongseok Oh
For a -shifted Lagrangian in a critical locus, we construct a homomorphism from the -group of matrix factorisations of the critical locus to the -group of the Lagrangia…
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…
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…
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…
Riemann-Roch for stacky matrix factorizations
Dongwook Choa, Bumsig Kim, Bhamidi Sreedhar
We establish a Hirzebruch-Riemann-Roch type theorem and Grothendieck-Riemann-Roch type theorem for matrix factorizations on quotient Deligne-Mumford stacks. For this we first const…
Exotic families of symplectic manifolds with Milnor fibers of -type
Dongwook Choa, Dogancan Karabas, Sangjin Lee
In this paper, we give infinitely many diffeomorphic families of different Weinstein manifolds. The diffeomorphic families consist of the Milnor fibers of -type, and a Weinste…
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…