2 citations · 4 across the 9 of their papers we have counts for
11 papers
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…
Higher degree obstructions to quasiconformal equivalence
Pierre Pansu, Francesca Tripaldi
Pairs of diffeomorphic Riemannian manifolds are shown not to be quasiconformally equivalent, while no degree one invariant (extremal lengths, conformal parabolicity,...) can distin…
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…
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…
Spectral complexes from truncated multicomplexes
Francesca Tripaldi
This paper introduces a new construction of subcomplexes associated with a truncated multicomplex. Inspired by the machinery of spectral sequences, this construction yields a colle…
Subcomplexes on filtered Riemannian manifolds
Veronique Fischer, Francesca Tripaldi
In this paper, we present a general construction to extract subcomplexes from two distinct complexes on filtered Riemannian manifolds. The first subcomplex computes the de Rham coh…