A note on \(n\)-gerbes and transgressions
type: Item
instance of: scholarly article
title: A note on \(n\)-gerbes and transgressions
zbMATH Open document ID: 1232.53028
DOI: 10.4171/PM/1897
author: Mauro Spera
published in: Portugaliae Mathematica. Nova Série
publication date: 2012-01-13T00:00:00Z
review text: Summary: We provide an explicit interpretation of a class of \((q-1)\)-gerbes with multi-layered connections in terms of transgression of a fibrewise closed \(q\)-form on a fibration to a closed \((q+1)\)-form on the base manifold, with the basic example of the Euler class of an oriented vector bundle in mind (\(q \geq 0\)). Picken's and Ferreira-Gothen's \(n\)-gerbopoles are discussed from this point of view. Furthermore, string structures (à la Cocquereaux-Pilch and à la Spera-Wurzbacher) are briefly addressed and recast within the proposed framework.
Mathematics Subject Classification ID: 53C08
Mathematics Subject Classification ID: 55N30
Mathematics Subject Classification ID: 57R22
Mathematics Subject Classification ID: 55R25
Mathematics Subject Classification ID: 57R20
Mathematics Subject Classification ID: 81S10
Mathematics Subject Classification ID: 81T30
zbMATH DE Number: 5996906
zbMATH Keywords: gerbes
zbMATH Keywords: transgression
zbMATH Keywords: Euler class
zbMATH Keywords: geometric quantization
zbMATH Keywords: string structures
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5996906