A note on the holonomy of connections in twisted bundles
Abstract
Recently twisted Ktheory has received much attention due to its applications in string theory and the announced result by Freed, Hopkins and Telemann relating the twisted equivariant Ktheory of a compact Lie group to its Verlinde algebra. Rather than considering gerbes as separate objects, in twisted Ktheory 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.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 June 2001
 arXiv:
 arXiv:math/0106019
 Bibcode:
 2001math......6019M
 Keywords:

 Differential Geometry;
 Category Theory
 EPrint:
 LaTeX, 24 pages, 3 pictures