Quiver bundles and wall crossing for chains

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

Autores

Gothen, PB (Autor) FCUP; Nozad, A (Autor) Outra

Revista

Título: Geometriae Dedicata

Vol. 199

Páginas: 137-146

ISSN: 0046-5755

Editora: Springer Nature

Indexação

ISI Web of Knowledge - 0 Citações

Scopus - 0 Citações

Outras Informações

ID Authenticus: P-00N-QS9

DOI: 10.1007/s10711-018-0341-6

Abstract (EN): Holomorphic chains on a Riemann surface arise naturally as fixed points of the natural C-action on the moduli space of Higgs bundles. In this paper we associate a new quiver bundle to the Hom-complex of two chains, and prove that stability of the chains implies stability of this new quiver bundle. Our approach uses the Hitchin-Kobayashi correspondence for quiver bundles. Moreover, we use our result to give a new proof of a key lemma on chains (due to alvarez-Consul-Garcia-Prada-Schmitt), which has been important in the study of Higgs bundle moduli; this proof relies on stability and thus avoids the direct use of the chain vortex equations.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 10