The Hermite-Einstein equation and stable principal bundles (an updated survey)
type: Item
instance of: scholarly article
title: The Hermite-Einstein equation and stable principal bundles (an updated survey)
zbMATH Open document ID: 1172.14008
author: Tomas L. Gómez
author: Ignacio Sols
published in: Geometriae Dedicata
publication date: 2009-05-13T00:00:00Z
review text: The paper is a survey of the last twenty years contributions to the relation between a fundamental equation of general relativity and quantum field theory with the theory of stable vector bundles and stable principal bundles. It deals also with the contributions to the construction (and compactification) of moduli spaces for these objects. Just to give an ideea, we mention the sections of this survey: 1. Introduction; 2. Physical motivations: general relativity; 3. Physical motivations: Yang-Mills equations; 4. Moduli of ASD solutions and stability of vector bundles; Moduli of slope-stable principal bundles and compactification; 6. Positive characteristic; 7. Higgs sheaves.
reviewed by: Nicolae Manolache
Mathematics Subject Classification ID: 14D22
Mathematics Subject Classification ID: 14D20
zbMATH DE Number: 5553581
zbMATH Keywords: vector bundle
zbMATH Keywords: principal bundle
zbMATH Keywords: connection
zbMATH Keywords: moduli spaces
zbMATH Keywords: Hermite-Einstein equation
zbMATH Keywords: antiselfdual connection
zbMATH Keywords: Higgs sheaves
MaRDI profile type: Publication
full work available at URL: s10711-008-9328-z
OpenAlex ID: W2081421499
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DOI: 10.1007/S10711-008-9328-Z
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description: scientific article; zbMATH DE number 5553581