<script type="text/javascript">
<!--
document.write('<div id="oa_widget"></div>');
document.write('<script type="text/javascript" src="https://www.openaire.eu/index.php?option=com_openaire&view=widget&format=raw&projectId=undefined&type=result"></script>');
-->
</script>

COPY SCRIPT

For further information contact us at helpdesk@openaire.eu

Harmonic forms on principal bundles

Name: Harmonic forms on principal bundles
Creator: Redden, Corbett
Keywords: Mathematics - Differential Geometry, 0301 basic medicine, 58A14, 01 natural sciences, adiabatic limit, 03 medical and health sciences, Differential Geometry (math.DG), Serre spectral sequence, Hodge theory, 58J28

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Jan 2012Embargo end date: 01 Jan 2008Publisher:International Press of BostonJournal:Asian Journal of Mathematics, volume 16, pages 637-660 (issn: 1093-6106, eissn: 1945-0036,

Authors: Redden, Corbett;

doi: 10.4310/ajm.2012.v16.n4.a4 , 10.48550/arxiv.0810.4578

arXiv: http://arxiv.org/abs/0810.4578

Harmonic forms on principal bundles

- Summary
- Subjects
- Metrics

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.

26 pages; v2 corrected typos and minor revisions

Related Organizations

Long Island University
United States

Keywords

Mathematics - Differential Geometry, 58A14, adiabatic limit, Differential Geometry (math.DG), Serre spectral sequence, Hodge theory, 58J28, FOS: Mathematics, 55T10, Chern–Simons forms, 58A14; 58J28

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

Average

Green

bronze

Fields of Science (4) View all

Fields of Science