Global properties of Higgs bundle moduli spaces

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The moduli spaces for Higgs bundles associated to real Lie groups and a closed Riemann surface have multiple connected components. This survey provides a compendium of results concerning the counting of these components in cases where the Lie group is a real forms of a complex simple Lie group. In some cases the components can be described quite explicitly.

Original languageEnglish (US)
Title of host publicationModuli Spaces and Vector Bundles-New Trends - VBAC 2022 Conference Moduli Spaces and Vector Bundles-New Trends In honor of Peter Newstead’s 80th Birthday
EditorsPeter Gothen, Margarida Melo, Montserrat Teixidor i Bigas
PublisherAmerican Mathematical Society
Pages39-77
Number of pages39
ISBN (Print)9781470472962
DOIs
StatePublished - 2024
EventVBAC Conference on Moduli Spaces and Vector Bundles-New Trends, 2022, held in honor of Peter Newstead's 80th birthday - Coventry, United Kingdom
Duration: Jul 25 2022Jul 29 2022

Publication series

NameContemporary Mathematics
Volume803
ISSN (Print)0271-4132
ISSN (Electronic)1098-3627

Conference

ConferenceVBAC Conference on Moduli Spaces and Vector Bundles-New Trends, 2022, held in honor of Peter Newstead's 80th birthday
Country/TerritoryUnited Kingdom
CityCoventry
Period7/25/227/29/22

Keywords

  • connected components
  • Higgs bundles
  • moduli spaces

ASJC Scopus subject areas

  • General Mathematics

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