A note on <var>n</var>-gerbes and transgressions

  • Mauro Spera

    Università degli Studi di Verona, Italy


In this note we provide an explicit interpretation of a class of (q1)(q-1)-gerbes with multi-layered connections in terms of transgression of a fibrewise closed qq-form on a fibration to a closed (q+1)(q+1)-form on the base manifold, with the basic example of the Euler class of an oriented vector bundle in mind (q0q \geq 0). Picken's and Ferreira–Gothen’s nn-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.

Cite this article

Mauro Spera, A note on <var>n</var>-gerbes and transgressions. Port. Math. 68 (2011), no. 4, pp. 381–387

DOI 10.4171/PM/1897