SO(p,q)-Higgs bundles and Higher Teichmuller components

• Tipo: Artigo em Revista Científica Internacional
• Data: 2019

Autores

Aparicio Arroyo, M (Autor) Outra; Bradlow, S (Autor) Outra; Collier, B (Autor) Outra; Garcia Prada, O (Autor) Outra; Gothen, PB (Autor) FCUP; Oliveira, A (Autor) FCUP

Revista

Título: Inventiones Mathematicae

Vol. 218

Páginas: 197-299

ISSN: 0020-9910

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 6 Citações

Scopus - 8 Citações

Outras Informações

ID Authenticus: P-00Q-VGX

DOI: 10.1007/s00222-019-00885-2

Abstract (EN): Some connected components of a moduli space are mundane in the sense that they are distinguished only by obvious topological invariants or have no special characteristics. Others are more alluring and unusual either because they are not detected by primary invariants, or because they have special geometric significance, or both. In this paper we describe new examples of such 'exotic' components in moduli spaces of of SO(p, q)-Higgs bundles on closed Riemann surfaces or, equivalently, moduli spaces of surface group representations into the Lie group SO(p, q). Furthermore, we discuss how these exotic components are related to the notion of positive Anosov representations recently developed by Guichard and Wienhard. We also provide a complete count of the connected components of these moduli spaces (except for SO(2, q), with q >= 4).

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 103