Multiplicative Higgs bundles and involutions
In this paper we generalize the theory of multiplicative G-Higgs bundles over a curve to pairs (G,θ), where G is a reductive algebraic group and θ is an involution of G. This generalization involves the notion of a multiplicative Higgs bundle taking values in a symmetric variety associated to θ, or...
| Autores: | , |
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| Tipo de documento: | artigo |
| Data de publicação: | 2024 |
| País: | España |
| Recursos: | Universidad Complutense de Madrid (UCM) |
| Repositório: | Docta Complutense |
| Idioma: | inglês |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/106846 |
| Acesso em linha: | https://hdl.handle.net/20.500.14352/106846 |
| Access Level: | Acceso aberto |
| Palavra-chave: | Multiplicative Higgs bundle Multiplicative Hitchin fibration Involution Symmetric variety Equivariant embedding Wonderful compactification Geometria algebraica 1204.02 Variedades Complejas |
| Resumo: | In this paper we generalize the theory of multiplicative G-Higgs bundles over a curve to pairs (G,θ), where G is a reductive algebraic group and θ is an involution of G. This generalization involves the notion of a multiplicative Higgs bundle taking values in a symmetric variety associated to θ, or in an equivariant embedding of it. We also study how these objects appear as fixed points of involutions of the moduli space of multiplicative G-Higgs bundles, induced by the involution θ. |
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