49 citations · 210 across the 15 of their papers we have counts for
3 papers · 1 filter
The Hodge Operator Revisited
L. Castellani, R. Catenacci, P. A. Grassi
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…
Hodge Dualities on Supermanifolds
Leonardo Castellani, Roberto Catenacci, Pietro Antonio Grassi
We discuss the cohomology of superforms and integral forms from a new perspective based on a recently proposed Hodge dual operator. We show how the superspace constraints (a.k.a. r…
The Geometry of Supermanifolds and New Supersymmetric Actions
L. Castellani, R. Catenacci, P. A. Grassi
We construct the Hodge dual for supermanifolds by means of the Grassmannian Fourier transform of superforms. In the case of supermanifolds it is known that the superforms are not s…