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arXiv · 2402.05380

Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles

Jia Choon Lee·Sukjoo Lee
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Abstract

We prove that the pure part of the cohomology ring of the moduli space of irregular $\underline{\xi}$-parabolic Higgs bundles is generated by the K\"{u}nneth components of the Chern classes of a universal bundle and the Chern classes of the successive quotients of a universal flag of subbundles. As an application, in the regular full-flag case, we demonstrate a similar result for the cohomology ring of the moduli spaces of parabolic and strongly parabolic Higgs bundles.

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Jia Choon Lee, Sukjoo Lee. 2024-02-08. Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles. https://arxiv.org/abs/2402.05380

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