6 papers
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…
Canonical form of matrix factorizations from Fukaya category of surface
Cheol-Hyun Cho, Kyungmin Rho
This paper concerns homological mirror symmetry for the pair-of-pants surface (A-side) and the non-isolated surface singularity (B-side). Burban-Drozd classified indecompos…
Topological Fukaya category of tagged arcs
Cheol-Hyun Cho, Kyoungmo Kim
A tagged arc on a surface is introduced by Fomin, Shapiro, and Thurston to study cluster theory on marked surfaces. Given a tagged arc system on a graded marked surface, we define…
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…