CONNECTEDNESS OF HIGGS BUNDLE MODULI FOR COMPLEX REDUCTIVE LIE GROUPS

• Tipo: Artigo em Revista Científica Internacional
• Data: 2017

Autores

Garcia Prada, O (Autor) Outra; Oliveira, A (Autor) FCUP

Revista

Título: Asian Journal of Mathematics

Vol. 21 Nº 5

Páginas: 791-810

ISSN: 1093-6106

Editora: International Press of Boston, Inc.

Indexação

ISI Web of Knowledge - 11 Citações

Scopus - 12 Citações

Outras Informações

ID Authenticus: P-00N-M8S

DOI: 10.4310/ajm.2017.v21.n5.a1

Abstract (EN): We carry an intrinsic approach to the study of the connectedness of the moduli space M-G of G-Higgs bundles, over a compact Riemann surface, when G is a complex reductive (not necessarily connected) Lie group. We prove that the number of connected components of M-G is indexed by the corresponding topological invariants. In particular, this gives an alternative proof of the counting by J. Li of the number of connected components of the moduli space of flat G-connections in the case in which G is connected and semisimple.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 20