5 papers
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…
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…
A Computational Approach to the Homotopy Theory of DG categories
Dogancan Karabas, Sangjin Lee
We give a specific cylinder functor for semifree dg categories. This allows us to construct a homotopy colimit functor explicitly. These two functors are "computable", specifically…
The wrapped Fukaya category of plumbings
Dogancan Karabas, Sangjin Lee
Plumbing spaces have drawn significant attention among symplectic topologists due to their natural occurrence as examples of Weinstein manifolds. In our paper, we provide a general…
Microlocal Sheaves on Pinwheels
Dogancan Karabas
In this thesis, we study the wrapped Fukaya category of the rational homology ball and the traditional/wrapped microlocal sheaves on its skeleton , called pinwhe…