4 papers · 1 filter
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…