activity
20032022
most citedNon-displaceable Lagrangian submanifolds and Floer cohomology with non-unitary line bundle

54 citations · 239 across the 29 of their papers we have counts for

collaborators

30 papers

math.SG2022

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…

math.SG2022

Ungraded matrix factorizations as mirrors of non-orientable Lagrangians

Lino Amorim, Cheol-Hyun Cho

We introduce the notion of ungraded matrix factorization as a mirror of non-orientable Lagrangian submanifolds. An ungraded matrix factorization of a polynomial , with coefficie…

math.SG2020★ 2 cited

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…

math.SG2020

Kodaira-Spencer map, Lagrangian Floer theory and orbifold Jacobian algebras

Cheol-Hyun Cho, Sangwook Lee

A version of mirror symmetry predicts a ring isomorphism between quantum cohomology of a symplectic manifold and Jacobian algebra of the Landau-Ginzburg mirror, and for toric manif…

math.SG2020★ 2 cited

Big Quantum cohomology of orbifold spheres

Lino Amorim, Cheol-Hyun Cho, Hansol Hong +1

We construct a Kodaira-Spencer map from the big quantum cohomology of a sphere with three orbifold points to the Jacobian ring of the mirror Landau-Ginzburg potential function. Thi…

math.SG2019★ 1 cited

A Note on Disk Counting in Toric Orbifolds

Kwokwai Chan, Cheol-Hyun Cho, Siu-Cheong Lau +2

We compute orbi-disk invariants of compact Gorenstein semi-Fano toric orbifolds by extending the method used for toric Calabi-Yau orbifolds. As a consequence the orbi-disc potentia…