Pullback and direct image of parabolic connections and parabolic Higgs bundles
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2023
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| _version_ | 1866914741030486016 |
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| author | Alfaya, David Biswas, Indranil |
| author_facet | Alfaya, David Biswas, Indranil |
| contents | We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann surfaces. We show that these constructions preserve semistability and polystability, and we prove that they are compatible with the nonabelian Hodge correspondence. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_00475 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Pullback and direct image of parabolic connections and parabolic Higgs bundles Alfaya, David Biswas, Indranil Algebraic Geometry 14H30 (Primary) 14H60, 14E20 (Secondary) We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann surfaces. We show that these constructions preserve semistability and polystability, and we prove that they are compatible with the nonabelian Hodge correspondence. |
| title | Pullback and direct image of parabolic connections and parabolic Higgs bundles |
| topic | Algebraic Geometry 14H30 (Primary) 14H60, 14E20 (Secondary) |
| url | https://arxiv.org/abs/2303.00475 |