Stratifications on the Moduli Space of Higgs Bundles

dc.creatorZúñiga Rojas, Ronald Alberto
dc.creatorBeier Gothen, Peter
dc.date.accessioned2018-07-20T20:21:13Z
dc.date.accessioned2019-04-25T15:28:17Z
dc.date.available2018-07-20T20:21:13Z
dc.date.available2019-04-25T15:28:17Z
dc.date.created2018-07-20T20:21:13Z
dc.date.issued2016-11-02
dc.identifierhttps://arxiv.org/pdf/1511.03985v4.pdf
dc.identifierhttp://hdl.handle.net/10669/75236
dc.identifierarXiv:1511.03985v4
dc.identifier820-B5-202
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/2383921
dc.description.abstractThe 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.
dc.languageen_US
dc.sourceBoletim da Sociedade Portuguesa de Matemática
dc.subjectModuli of Higgs Bundles
dc.subjectHarder–Narasimhan filtrations
dc.subjectHodge Bundles
dc.subjectVector Bundles
dc.subject519 Probabilidades y matemáticas aplicadas
dc.titleStratifications on the Moduli Space of Higgs Bundles
dc.typeArtículos de revistas
dc.typeArtículo científico


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