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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…
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.…
Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles
Jia Choon Lee, Sukjoo Lee
We prove that the pure part of the cohomology ring of the moduli space of irregular -parabolic Higgs bundles is generated by the Künneth components of the Chern classe…