Gerbes over Orbifolds and Twisted K-theory
| dc.creator | Lupercio, Ernesto | |
| dc.creator | Uribe, Bernardo | |
| dc.date | 2001-05-05 | |
| dc.date | 2002-03-19 | |
| dc.date.accessioned | 2026-07-07T04:41:36Z | |
| dc.date.available | 2026-07-07T04:41:36Z | |
| dc.description | In this paper we construct an explicit geometric model for the group of gerbes over an orbifold $X$. We show how from its curvature we can obtain its characteristic class in $H^3(X)$ via Chern-Weil theory. For an arbitrary gerbe $\LL$, a twisting $\Korb{\LL}(X)$ of the orbifold $K$-theory of $X$ is constructed, and shown to generalize previous twisting by Rosenberg, Witten, Atiyah-Segal and Bowknegt et. al. in the smooth case and by Adem-Ruan for discrete torsion on an orbifold. | |
| dc.description | Revised version. Changes to section 7 | |
| dc.identifier | https://arxiv.org/abs/math/0105039 | |
| dc.identifier | http://arxiv.org/abs/math/0105039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61427 | |
| dc.subject | Algebraic Topology | |
| dc.subject | Mathematical Physics | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Category Theory | |
| dc.subject | K-Theory and Homology | |
| dc.title | Gerbes over Orbifolds and Twisted K-theory | |
| dc.type | text |