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…
Spectral correspondence for cyclic Higgs bundles
Jia Choon Lee, Ana Peón-Nieto
In this paper, we describe the spectral correspondence for cyclic Higgs bundles from the viewpoint of quiver bundles. Under this framework, we establish a one-to-one correspondence…
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…
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…
Moduli spaces of modules over even Clifford algebras and Prym varieties
Jia Choon Lee
A conic fibration has an associated sheaf of even Clifford algebras on the base. In this paper, we study the relation between the moduli spaces of modules over the sheaf of even Cl…
Semi-polarized meromorphic Hitchin and Calabi-Yau integrable systems
Jia Choon Lee, Sukjoo Lee
It was shown by Diaconescu, Donagi and Pantev that Hitchin systems of type ADE are isomorphic to certain Calabi-Yau integrable systems. In this paper, we prove an analogous result…