6 papers
Symplectic leaves of meromorphic Hitchin systems
Jia Choon Lee, Sukjoo Lee
The moduli space of meromorphic Higgs bundles admits a Poisson structure due to the independent work of Bottacin and Markman. In this paper, we revisit the symplectic leaves of thi…
Fibers of Landau-Ginzburg models and rationality
Sukjoo Lee, Victor Przyjalkowski
In this article, we study how the rationality of a Fano threefold is reflected in its standard mirror Landau-Ginzburg model and its deformations. The main result is that a Fano thr…
On a conjecture of Hosono-Lee-Lian-Yau
Andrew Harder, Sukjoo Lee
We extend the mirror construction of singular Calabi-Yau double covers, introduced by Hosono, Lee, Lian, and Yau, to a broader class of singular Calabi-Yau -Galoi…
Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem
Jia Choon Lee, Sukjoo Lee
In this paper, we generalize the spectral correspondence for parabolic Higgs bundles established by Diaconescu--Donagi--Pantev to the relative setting. We show that the relative mo…
Fukaya categories of hyperplane arrangements
Sukjoo Lee, Yin Li, Si-Yang Liu +1
To a simple polarized hyperplane arrangement (not necessarily cyclic) , one can associate a stopped Liouville manifold (equivalently, a Liouville sector) $\left(M(\math…
Irregular Hodge numbers of stacky Clarke mirror pairs
Andrew Harder, Sukjoo Lee
We prove a duality between the graded pieces of the irregular Hodge filtration on the twisted cohomology for a large class of Clarke mirror pairs of stacky Landau-Ginzburg models.…