On the orbit types of the action of the gauge group on connections modulo pointed gauge transformations
type: Item
instance of: scholarly article
title: On the orbit types of the action of the gauge group on connections modulo pointed gauge transformations
zbMATH Open document ID: 1030.53027
DOI: 10.1016/S0034-4877(02)80047-7
published in: Reports on Mathematical Physics
publication date: 2004-02-09T00:00:00Z
review text: Given a principal SU\((n)\)-bundle over a compact connected orientable Riemannian manifold \(M\) of dimension \(\dim M\in\{2,3,4\}\), the authors determine the orbit types of the action of the gauge group on the space of connections modulo pointed local gauge transformations. It is shown that these are given by Howe subgroups of SU\((n)\) for which a certain characteristic equation is solvable; depending on the base manifold, this equation leads to a linear, bilinear or quadratic Diophantine equation.
reviewed by: Vladimir Balan
Mathematics Subject Classification ID: 53C05
Mathematics Subject Classification ID: 58D19
Mathematics Subject Classification ID: 53C80
zbMATH DE Number: 1931329
zbMATH Keywords: gauge orbit space
zbMATH Keywords: nongeneric strata
zbMATH Keywords: orbit types
zbMATH Keywords: pointed gauge group
zbMATH Keywords: stratification
zbMATH Keywords: Howe subgroup
zbMATH Keywords: Hasse diagram
author: Gerd Rudolph
author: Matthias Schmidt
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1931329