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_ES |
dc.description.procedence | UCR::Vicerrectoría de Investigación::Unidades de Investigación::Ciencias Básicas::Centro de Investigaciones en Matemática y Meta-Matemática (CIMM) | es_ES |
dc.description.sponsorship | Universidad do Porto/[PTDC/MAT-GEO/0675/2012]/Uporto/Brasil | es_ES |
dc.description.sponsorship | Universidad de Costa Rica/[820-B5-20]/UCR/San José | es_ES |
dc.description.sponsorship | Fundación para la Ciencia y la Tecnología/[SFRH/BD/51174/2010]//Portugal | es_ES |
dc.description.sponsorship | Universidade do Porto/[UID/MAT/00144/20]/CMUP/Portugal | es_ES |
dc.description.sponsorship | Universidade do Porto/[PTDC/MAT-GEO/2823/2014]/CMUP/Portugal | es_ES |
dc.description.sponsorship | Universidade do Porto/[PTDC/MAT-GEO/2823/2014]/CMUP/Portugal | es_ES |
dc.identifier.citation | https://arxiv.org/pdf/1511.03985v4.pdf | |
dc.identifier.codproyecto | 820-B5-202 | |
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 | es_ES |
dc.rights | acceso embargado | |
dc.source | Boletim da Sociedade Portuguesa de Matemática | es_ES |
dc.subject | Moduli of Higgs Bundles | es_ES |
dc.subject | Harder–Narasimhan filtrations | es_ES |
dc.subject | Hodge Bundles | es_ES |
dc.subject | Vector Bundles | es_ES |
dc.subject | 519 Probabilidades y matemáticas aplicadas | es_ES |
dc.title | Stratifications on the Moduli Space of Higgs Bundles | es_ES |
dc.type | artículo original |
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