Abstract
In this note 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 (`a la Cocquereaux - Pilch and `a la S. - Wurzbacher) are briefly addressed and recast within the proposed framework.
Lingua originale | English |
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pagine (da-a) | 381-387 |
Numero di pagine | 7 |
Rivista | Portugaliae Mathematica |
Volume | 68 |
DOI | |
Stato di pubblicazione | Pubblicato - 2011 |
Keywords
- Gerbes, transgression, Euler class, geometric quantization, string structures.