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.

Spera, M., A note on n-gerbes and transgressions, <<PORTUGALIAE MATHEMATICA>>, 2011; 68 (4): 381-387. [doi:10.4171/PM/1897] [http://hdl.handle.net/10807/35974]

A note on n-gerbes and transgressions

Spera, Mauro
2011

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.
Inglese
Spera, M., A note on n-gerbes and transgressions, <<PORTUGALIAE MATHEMATICA>>, 2011; 68 (4): 381-387. [doi:10.4171/PM/1897] [http://hdl.handle.net/10807/35974]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10807/35974
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