Homotopy type of moduli spaces of G-Higgs bundles and reducibility of the nilpotent cone

• Type: Article in International Scientific Journal
• Date: 2019

Authors

Florentino, C (Author) Other; Gothen, PB (Author) FCUP; Nozad, A (Author) Other

Journal

Title: Bulletin des Sciences Mathematiques

Vol. 150

Pages: 84-101

ISSN: 0007-4497

Publisher: Elsevier

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 1 Citation

Associated Projects

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

Other information

Authenticus ID: P-00P-ZEX

DOI: 10.1016/j.bulsci.2018.10.002

Abstract (EN): Let G be a real reductive Lie group, and H-C the complexification of its maximal compact subgroup H subset of G. We consider classes of semistable G-Higgs bundles over a Riemann surface X of genus g >= 2 whose underlying H-C-principal bundle is unstable. This allows us to find obstructions to a deformation retract from the moduli space of G-Higgs bundles over X to the moduli space of H-C-bundles over X, in contrast with the situation when g = 1, and to show reducibility of the nilpotent cone of the moduli space of G-Higgs bundles, for G complex.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 18