The Hodge Operator Revisited
High Energy Physics - Theory
2015-11-23 v2 Mathematical Physics
math.MP
Abstract
We present a new construction for the Hodge operator for differential manifolds based on a Fourier (Berezin)-integral representation. We find a simple formula for the Hodge dual of the wedge product of differential forms, using the (Berezin)-convolution. The present analysis is easily extended to supergeometry and to non-commutative geometry.
Cite
@article{arxiv.1511.05105,
title = {The Hodge Operator Revisited},
author = {L. Castellani and R. Catenacci and P. A. Grassi},
journal= {arXiv preprint arXiv:1511.05105},
year = {2015}
}
Comments
10 pages, some misprint, changed factor in the last formula, added acknowledgement