Stratifications on the moduli space of Higgs bundles

• Type: Article in International Scientific Journal
• Date: 2017-11-10

Authors

Gothen, PB (Author) FCUP; Zúñiga-Rojas, Ronald A. (Author) Other

Journal

Title: Portugaliae Mathematica

Vol. 74 No. 2

Pages: 127-148

ISSN: 0032-5155

Publisher: European Mathematical Society Publishing House

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 4 Citations

Scientific classification

CORDIS: Physical sciences > Mathematics > Geometry

FOS: Natural sciences > Mathematics

Associated Projects

PTDC/MAT-GEO/2823/2014 - Geometria de Variedades Algébricas

PTDC/MAT-GEO/0675/2012 - Comunidade Portuguesa de Geometria Algébrica

Other information

Authenticus ID: P-00N-7M9

DOI: 10.4171/pm/1996

Abstract (EN): The moduli space of Higgs bundles has two stratifications. The Bialynicki-Birula 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 22