Moduli spaces of Higgs bundles: old and new

We give an overview of the differential geometric and analytic aspects of Higgs bundles and their moduli spaces and highlight some of their interrelations with neighboring fields. We review various current developments in this subject and provide a discussion of a number of open problems.

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Bibliographic Details
Main Author: Swoboda, Jan (Author)
Format: Article (Journal)
Language:English
Published: 4 March 2021
In: Jahresbericht der Deutschen Mathematiker-Vereinigung
Year: 2021, Volume: 123, Issue: 2, Pages: 65-130
ISSN:1869-7135
DOI:10.1365/s13291-021-00229-1
Online Access:Resolving-System, kostenfrei, Volltext: https://doi.org/10.1365/s13291-021-00229-1
Verlag, kostenfrei, Volltext: https://link.springer.com/10.1365/s13291-021-00229-1
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Author Notes:Jan Swoboda
Description
Summary:We give an overview of the differential geometric and analytic aspects of Higgs bundles and their moduli spaces and highlight some of their interrelations with neighboring fields. We review various current developments in this subject and provide a discussion of a number of open problems.
Item Description:Gesehen am 07.08.2023
Physical Description:Online Resource
ISSN:1869-7135
DOI:10.1365/s13291-021-00229-1