Asian Journal of Mathematics
- Asian J. Math.
- Volume 16, Number 4 (2012), 637-660.
Harmonic forms on principal bundles
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.
Asian J. Math., Volume 16, Number 4 (2012), 637-660.
First available in Project Euclid: 12 December 2012
Permanent link to this document
Redden, Corbett. Harmonic forms on principal bundles. Asian J. Math. 16 (2012), no. 4, 637--660. https://projecteuclid.org/euclid.ajm/1355321982