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arXiv:1511.05105hep-th

The Hodge Operator Revisited

L. Castellani, R. Catenacci, P. A. Grassi

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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.

arXiv comments
10 pages, some misprint, changed factor in the last formula, added acknowledgement
Journal reference
DOI
Subjects
hep-thHigh Energy Physics, Theory math-phMathematical Physics

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