Stratifications on the Moduli Space of Higgs Bundles

Zúñiga Rojas, Ronald Alberto; Beier Gothen, Peter

Stratifications on the Moduli Space of Higgs Bundles

dc.creator	Zúñiga Rojas, Ronald Alberto
dc.creator	Beier Gothen, Peter
dc.date.accessioned	2018-07-20T20:21:13Z
dc.date.available	2018-07-20T20:21:13Z
dc.date.issued	2016-11-02
dc.description.abstract	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.	es
dc.description.procedence	UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemática y Meta-Matemática (CIMM)	es
dc.description.sponsorship	Universidad do Porto/[PTDC/MAT-GEO/0675/2012]/Uporto/Brasil	es
dc.description.sponsorship	Universidad de Costa Rica/[820-B5-20]/UCR/San José	es
dc.description.sponsorship	Fundación para la Ciencia y la Tecnología/[SFRH/BD/51174/2010]//Portugal	es
dc.description.sponsorship	Universidade do Porto/[UID/MAT/00144/20]/CMUP/Portugal	es
dc.description.sponsorship	Universidade do Porto/[PTDC/MAT-GEO/2823/2014]/CMUP/Portugal	es
dc.description.sponsorship	Universidade do Porto/[PTDC/MAT-GEO/2823/2014]/CMUP/Portugal	es
dc.identifier.citation	https://arxiv.org/pdf/1511.03985v4.pdf
dc.identifier.codproyecto	820-B5202
dc.identifier.doi	https://doi.org/10.48550/arXiv.1511.03985
dc.identifier.uri	https://hdl.handle.net/10669/75236
dc.language.iso	en_US
dc.rights	acceso embargado
dc.source	Boletim da Sociedade Portuguesa de Matemática	es
dc.subject	Moduli of Higgs Bundles	es
dc.subject	Harder–Narasimhan filtrations	es
dc.subject	Hodge Bundles	es
dc.subject	Vector Bundles	es
dc.subject	519 Probabilidades y matemáticas aplicadas	es
dc.title	Stratifications on the Moduli Space of Higgs Bundles	es
dc.type	artículo original

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