4 papers
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…
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…
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…
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…