5 papers
Generation of immersed Lagrangians by cocores
Wonbo Jeong, Dogancan Karabas, Sangjin Lee
We extend the generation theorem of Chantraine--Dimitroglou Rizell--Ghiggini--Golovko to exact Lagrangian immersions in Weinstein manifolds. We prove that an exact Lagrangian immer…
Proper modules over Ginzburg dg algebras and compact Fukaya categories of plumbings
Wonbo Jeong, Dogancan Karabas, Sangjin Lee
We study Ginzburg dg algebras which appear at the intersection of representation theory and symplectic topology. First, we provide a collection of proper modules that generates all…
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…
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…