Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866910564306911232 |
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| author | Lee, Jia Choon Lee, Sukjoo |
| author_facet | Lee, Jia Choon Lee, Sukjoo |
| contents | We prove that the pure part of the cohomology ring of the moduli space of irregular $\underlineξ$-parabolic Higgs bundles is generated by the Künneth 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_05380 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles Lee, Jia Choon Lee, Sukjoo Algebraic Geometry We prove that the pure part of the cohomology ring of the moduli space of irregular $\underlineξ$-parabolic Higgs bundles is generated by the Künneth 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. |
| title | Generators for the cohomology of the moduli space of irregular parabolic Higgs bundles |
| topic | Algebraic Geometry |
| url | https://arxiv.org/abs/2402.05380 |