Stratifications on the Moduli Space of Higgs Bundles

 

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Detalles Bibliográficos
Autores: Zúñiga Rojas, Ronald Alberto, Beier Gothen, Peter
Formato: artículo original
Fecha de Publicación:2016
Descripción:The moduli space of Higgs bundles has two stratifications. The Bia lynickiBirula stratification comes from the action of the non-zero complex numbers by multiplication on the Higgs field, and the Shatz stratification arises from the Harder–Narasimhan type of the vector bundle underlying a Higgs bundle. While these two stratifications coincide in the case of rank two Higgs bundles, this is not the case in higher rank. In this paper we analyze the relation between the two stratifications for the moduli space of rank three Higgs bundles.
País:Kérwá
Institución:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/75236
Acceso en línea:https://arxiv.org/pdf/1511.03985v4.pdf
https://hdl.handle.net/10669/75236
Palabra clave:Moduli of Higgs Bundles
Harder–Narasimhan filtrations
Hodge Bundles
Vector Bundles
519 Probabilidades y matemáticas aplicadas