Higgs bundles twisted by a vector bundle
In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle of the curve is replaced by a rank 2 vector bundle. We define a Hitchin map and give a spectral correspondence. We also s...
| Autores: | , , |
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| Tipo de documento: | artigo |
| Estado: | Versión enviada para evaluación y publicación |
| Data de publicação: | 2024 |
| País: | España |
| Recursos: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositório: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/381371 |
| Acesso em linha: | http://hdl.handle.net/10261/381371 https://www.scopus.com/inward/record.uri?eid=2-s2.0-85189897187&doi=10.1142%2fS0129167X24410076&partnerID=40&md5=671b8bd792968e5051e555b356f4f4f7 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Higgs bundles Hitchin map Hitchin-Kobayashi correspondence Spectral correspondence |
| Resumo: | In this paper, we consider a generalization of the theory of Higgs bundles over a smooth complex projective curve in which the twisting of the Higgs field by the canonical bundle of the curve is replaced by a rank 2 vector bundle. We define a Hitchin map and give a spectral correspondence. We also state a Hitchin-Kobayashi correspondence for a generalization of Hitchin's equations to this situation. In a certain sense, this theory lies halfway between the theories of Higgs bundles on a curve and on a higher-dimensional variety. © 2024 World Scientific Publishing Company. |
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