Bundle 2-gerbes
| dc.creator | Stevenson, Danny | |
| dc.date | 2001-06-04 | |
| dc.date.accessioned | 2026-07-07T04:41:58Z | |
| dc.date.available | 2026-07-07T04:41:58Z | |
| dc.description | We make the category BGrb_M of bundle gerbes on a manifold M into a 2-category by providing 2-cells in the form of transformations of bundle gerbe morphisms. This description of BGrb_M as a 2-category is used to define the notion of a bundle 2-gerbe. To every bundle 2-gerbe on M is associated a class in H^4(M;Z). We define the notion of a bundle 2-gerbe connection and show how this leads to a closed, integral differential 4-form on M which represents the image in real cohomology of the class in H^4(M;Z). Some examples of bundle 2-gerbes are discussed, including the bundle 2-gerbe associated to a principal G-bundle P \to M. It is shown that the class in H^4(M;Z) associated to this bundle 2-gerbe coincides with the first Pontryagin class of P --- this example was previously considered from the point of view of 2-gerbes by Brylinski and McLaughlin. | |
| dc.description | 27 pages | |
| dc.identifier | https://arxiv.org/abs/math/0106018 | |
| dc.identifier | http://arxiv.org/abs/math/0106018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61581 | |
| dc.subject | Differential Geometry | |
| dc.subject | 18D05; 55R65 | |
| dc.title | Bundle 2-gerbes | |
| dc.type | text |