The Hodge Operator Revisited
classification
✦ hep-th
math-phmath.MP
keywords
hodgeberezindifferentialoperatoranalysisconstructionconvolutiondual
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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.
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