From the 1 of 6 linked papers with an AI index.
6 papers
Higher degree obstructions to quasiconformal equivalence
Pierre Pansu, Francesca Tripaldi
The paper demonstrates that certain diffeomorphic Riemannian manifolds cannot be related by quasiconformal maps, using a degree‑2 conformal cohomology obstruction, and provides ana…
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…
Filtered complexes and cohomologically equivalent subcomplexes
Erlend Grong, Francesca Tripaldi
Inspired by Rumin's work on a subcomplex in sub-Riemannian manifolds which is cohomologically equivalent to the de Rham complex, we present a more general construction that produce…
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…