Exotic components of SO(p, q) surface group representations, and their Higgs bundle avatars

• Type: Article in International Scientific Journal
• Date: 2018

Authors

Aparicio-Arroyo, M (Author) Other; Bradlow, S (Author) Other; Collier, B (Author) Other; García-Prada, O (Author) Other; Gothen, PB (Author) FCUP; Oliveira, A (Author) Other

Journal

Title: Comptes Rendus Mathematique

Vol. 356

Pages: 666-673

ISSN: 1631-073X

Publisher: Academie des Sciences

Indexing

ISI Web of Knowledge - 3 Citations

Scopus - 3 Citations

Other information

Authenticus ID: P-00N-ZG0

DOI: 10.1016/j.crma.2018.04.024

Abstract (EN): For semisimple Lie groups, moduli spaces of Higgs bundles on a Riemann surface correspond to representation varieties for the surface fundamental group. In many cases, natural topological invariants label connected components of the moduli spaces. Hitchin representations into split real forms, and maximal representations into Hermitian Lie groups, are the only previously know cases where natural invariants do not fully distinguish connected components. In this note we announce the existence of new such exotic components in the moduli spaces for the groups SO(p,q) with 2 < p < q. These groups lie outside formerly know classes of groups associated with exotic components. Published by Elsevier Masson SAS on behalf of Academie des sciences.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 8