Composantes exotiques des variétés de représentations du groupe fondamental d'une surface dans SO(p,q) et les fibrés de Higgs correspondants

Translated title of the contribution: Exotic components of SO(p,q) surface group representations, and their Higgs bundle avatars

Marta Aparicio-Arroyo, Steven Bradlow, Brian Collier, Oscar García-Prada, Peter B. Gothen, André Oliveira

Research output: Contribution to journalArticle

Abstract

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.

Translated title of the contributionExotic components of SO(p,q) surface group representations, and their Higgs bundle avatars
Original languageFrench
Pages (from-to)666-673
Number of pages8
JournalComptes Rendus Mathematique
Volume356
Issue number6
DOIs
StatePublished - Jun 2018

ASJC Scopus subject areas

  • Mathematics(all)

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