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math.SG2024
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…
math.RT2024
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…
math.SG2024
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…