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http://hdl.handle.net/11531/109892| Título : | Remarks on Higgs bundles twisted by a vector bundle |
| Autor : | Alfaya Sánchez, David Biswas, Indranil Kumar, Pradip |
| Fecha de publicación : | 24-abr-2026 |
| Resumen : | For any V-twisted Higgs bundle on a compact connected Riemann surface X, where V is a holomorphic vector bundle of rank two over X, there are two associated Higgs bundles on X, twisted by line bundles, which are constructed using a Hecke transformation on V. We characterize all such pairs of Higgs bundles (twisted by line bundles) given by the V-twisted Higgs bundles. Using this characterization, we provide a spectral correspondence for the moduli space, identifying V-twisted Higgs bundles with the direct images of certain rank one torsionfree Higgs sheaves twisted by a line bundle on a spectral covering of the curve X. For any V-twisted Higgs bundle on a compact connected Riemann surface X, where V is a holomorphic vector bundle of rank two over X, there are two associated Higgs bundles on X, twisted by line bundles, which are constructed using a Hecke transformation on V. We characterize all such pairs of Higgs bundles (twisted by line bundles) given by the V-twisted Higgs bundles. Using this characterization, we provide a spectral correspondence for the moduli space, identifying V-twisted Higgs bundles with the direct images of certain rank one torsionfree Higgs sheaves twisted by a line bundle on a spectral covering of the curve X. |
| Descripción : | Artículos en revistas |
| URI : | https://doi.org/10.1142/S0129167X26500412 http://hdl.handle.net/11531/109892 |
| ISSN : | 0129-167X |
| Aparece en las colecciones: | Artículos |
Ficheros en este ítem:
| Fichero | Tamaño | Formato | |
|---|---|---|---|
| IIT-26-127R_preprint.pdf | 319,59 kB | Adobe PDF | Visualizar/Abrir |
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