Non Abelian Differentiable Gerbes
| dc.creator | Laurent-Gengoux, Camille | |
| dc.creator | Stienon, Mathieu | |
| dc.creator | Xu, Ping | |
| dc.date | 2005-11-29 | |
| dc.date | 2008-12-31 | |
| dc.date.accessioned | 2026-07-07T12:54:22Z | |
| dc.date.available | 2026-07-07T12:54:22Z | |
| dc.description | We study non-abelian differentiable gerbes over stacks using the theory of Lie groupoids. More precisely, we develop the theory of connections on Lie groupoid $G$-extensions, which we call "connections on gerbes", and study the induced connections on various associated bundles. We also prove analogues of the Bianchi identities. In particular, we develop a cohomology theory which measures the existence of connections and curvings for $G$-gerbes over stacks. We also introduce $G$-central extensions of groupoids, generalizing the standard groupoid $S^1$-central extensions. As an example, we apply our theory to study the differential geometry of $G$-gerbes over a manifold. | |
| dc.description | 67 pages, references added and updated, final version to appear in Adv. Math | |
| dc.identifier | https://arxiv.org/abs/math/0511696 | |
| dc.identifier | http://arxiv.org/abs/math/0511696 | |
| dc.identifier | Advances in Mathematics 220 (2009) 1357-1427 | |
| dc.identifier | doi:10.1016/j.aim.2008.10.018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223910 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Mathematical Physics | |
| dc.title | Non Abelian Differentiable Gerbes | |
| dc.type | text |