Stratifications on the Moduli Space of Higgs Bundles
The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder–Narasimhan type of the vector bundle underlying a Higgs bund...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2016 |
| País: | Costa Rica |
| Institución: | Universidad de Costa Rica |
| Repositorio: | Kérwá |
| OAI Identifier: | oai:kerwa.ucr.ac.cr:10669/75236 |
| Acceso en línea: | https://arxiv.org/pdf/1511.03985v4.pdf https://hdl.handle.net/10669/75236 https://doi.org/10.48550/arXiv.1511.03985 |
| Access Level: | acceso embargado |
| Palabra clave: | Moduli of Higgs Bundles Harder–Narasimhan filtrations Hodge Bundles Vector Bundles 519 Probabilidades y matemáticas aplicadas |
| Sumario: | The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder–Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles. |
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