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The Hodge Operator Revisited
- Publication Year :
- 2015
-
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.<br />Comment: 10 pages, some misprint, changed factor in the last formula, added acknowledgement
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1511.05105
- Document Type :
- Working Paper