Harmonic forms on principal bundles
Differential Geometry
2010-01-06 v2
Abstract
We show a relationship between Chern-Simons 1- and 3-forms and harmonic forms on a principal bundle. Doing so requires one to consider an adiabatic limit. For the 3-form case, assume that G is simple and the corresponding Chern-Weil 4-form is exact. Then, the Chern-Simons 3-form on the princpal bundle G-bundle, minus a canonical term from the base, is harmonic in the adiabatic limit.
Keywords
Cite
@article{arxiv.0810.4578,
title = {Harmonic forms on principal bundles},
author = {Corbett Redden},
journal= {arXiv preprint arXiv:0810.4578},
year = {2010}
}
Comments
26 pages; v2 corrected typos and minor revisions