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math.DG2023
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…
math.DG2023
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…