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math.DG2026
Spectral complexes and currents on the Engel group
Filippa Lo Biundo, Francesca Tripaldi
We study the spectral complexes arising from the de Rham complex on the Engel group viewed as a truncated multicomplex. We describe the two resulting complexes, analyse their c…
math.DG2026
Stokes' theorem on positively graded groups
Valentino Magnani, Francesca Tripaldi
This paper studies the validity of Stokes' theorem for differential subcomplexes naturally adapted to the noncommutative geometry of positively graded Lie groups, with particular e…
math.DG2026
Pansu pullback and spectral complexes
Filippa Lo Biundo, Francesca Tripaldi
In this paper, we prove the commutativity between the Pansu pullback of a smooth contact map between Carnot groups and the differentials appearing in the spectral complexes. As a d…