A note on the holonomy of connections in twisted bundles
| dc.creator | Mackaay, Marco | |
| dc.date | 2001-06-04 | |
| dc.date | 2002-07-30 | |
| dc.date.accessioned | 2026-07-07T04:41:58Z | |
| dc.date.available | 2026-07-07T04:41:58Z | |
| dc.description | Recently twisted K-theory has received much attention due to its applications in string theory and the announced result by Freed, Hopkins and Telemann relating the twisted equivariant K-theory of a compact Lie group to its Verlinde algebra. Rather than considering gerbes as separate objects, in twisted K-theory one considers a gerbe as being part of the data for a twisted vector bundle. There is also a notion of a connection in a twisted vector bundle and Kapustin has studied some aspects of the holonomy of such connections. In this note I study the holonomy of connections in twisted principal bundles and show that it can best be defined as a functor rather than a map. Even for the case which Kapustin studied the results in this paper give a more general picture. | |
| dc.description | LaTeX, 24 pages, 3 pictures | |
| dc.identifier | https://arxiv.org/abs/math/0106019 | |
| dc.identifier | http://arxiv.org/abs/math/0106019 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61582 | |
| dc.subject | Differential Geometry | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | Category Theory | |
| dc.title | A note on the holonomy of connections in twisted bundles | |
| dc.type | text |