Por favor, use este identificador para citar o enlazar este ítem:
http://hdl.handle.net/11531/108332| Título : | Parabolic vector bundles and Lie algebroid connections |
| Autor : | Alfaya Sánchez, David Biswas, Indranil Kumar, Pradip Singh, Anoop |
| Fecha de publicación : | 29-dic-2025 |
| Resumen : | Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection. Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection. |
| Descripción : | Artículos en revistas |
| URI : | https://doi.org/10.4153/S0008414X25101983 http://hdl.handle.net/11531/108332 |
| ISSN : | 0008-414X |
| Aparece en las colecciones: | Artículos |
Ficheros en este ítem:
| Fichero | Tamaño | Formato | |
|---|---|---|---|
| IIT-26-034R_preprint | 458,32 kB | Unknown | Visualizar/Abrir |
Los ítems de DSpace están protegidos por copyright, con todos los derechos reservados, a menos que se indique lo contrario.