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@article{faucris.115336364,
abstract = {Generalized connections and their calculus have been developed in the context of quantum gravity. Here we apply them to abelian Chern-Simons theory. We derive the expectation values of holonomies in U(1) Chern-Simons theory using Stokes' theorem, flux operators and generalized connections. A framing of the holonomy loops arises in our construction, and we show how, by choosing natural framings, the resulting expectation values nevertheless define a functional over gauge invariant cylindrical functions.The abelian theory considered in the present article is the test case for our method. It can also be applied to the non-abelian theory. Results will be reported in a companion article. © 2011 Elsevier B.V.},
author = {Sahlmann, Hanno and Thiemann, Thomas},
doi = {10.1016/j.geomphys.2011.10.012},
faupublication = {yes},
journal = {Journal of Geometry and Physics},
keywords = {Abelian Chern-Simons theory; Generalized connections; Loop quantum gravity},
pages = {204-212},
peerreviewed = {Yes},
title = {{Abelian} {Chern}-{Simons} theory, {Stokes}' theorem, and generalized connections},
volume = {62},
year = {2012}
}