Publication

Hitchin Pairs for non-compact real Lie groups

Bibliographic Details
Summary:	Hitchin pairs on Riemann surfaces are generalizations of Higgs bundles, allowing the Higgs field to be twisted by an arbitrary line bundle. We consider this generalization in the context of G-Higgs bundles for a real reductive Lie group G. We outline the basic theory and review some selected results, including recent results by Nozad and the author arXiv:1602.02712 [math.AG] on Hitchin pairs for the unitary group of indefinite signature U(p,q).
Country:	Portugal
Document type:	book
Access type:	Open
Associated institution:	Repositório Aberto da Universidade do Porto
Language:	English
Origin:	Repositório Aberto da Universidade do Porto

_version_	1850560646835339264
conditionsOfAccess_str	open access
contentURL_str_mv	https://repositorio-aberto.up.pt/handle/10216/107642
country_str	PT
description	Hitchin pairs on Riemann surfaces are generalizations of Higgs bundles, allowing the Higgs field to be twisted by an arbitrary line bundle. We consider this generalization in the context of G-Higgs bundles for a real reductive Lie group G. We outline the basic theory and review some selected results, including recent results by Nozad and the author arXiv:1602.02712 [math.AG] on Hitchin pairs for the unitary group of indefinite signature U(p,q).
documentTypeURL_str	http://purl.org/coar/resource_type/c_2f33
documentType_str	book
id	c3727ea2-fe0e-4be7-971c-05336503bb4a
language	eng
relatedInstitutions_str_mv	Repositório Aberto da Universidade do Porto
resourceName_str	Repositório Aberto da Universidade do Porto
spellingShingle	Hitchin Pairs for non-compact real Lie groups
title	Hitchin Pairs for non-compact real Lie groups