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math.SG2026
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…
math.SG2025
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…
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…