Exotic components of SO(p, q) surface group representations, and their Higgs bundle avatars

• Tipo: Artigo em Revista Científica Internacional
• Data: 2018

Autores

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

Revista

Título: Comptes Rendus Mathematique

Vol. 356

Páginas: 666-673

ISSN: 1631-073X

Editora: Academie des Sciences

Indexação

ISI Web of Knowledge - 3 Citações

Scopus - 3 Citações

Outras Informações

ID Authenticus: P-00N-ZG0

DOI: 10.1016/j.crma.2018.04.024

Abstract (EN): For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO(p,q) with 2 < p < q. These groups lie outside formerly know classes of groups associated with exotic components. Published by Elsevier Masson SAS on behalf of Academie des sciences.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 8