Spectral complexes from truncated multicomplexes
Algebraic Topology
2026-02-03 v1 Differential Geometry
Abstract
This paper introduces a new construction of subcomplexes associated with a truncated multicomplex. Inspired by the machinery of spectral sequences, this construction yields a collection of interrelated subcomplexes whose differentials coincide with the spectral sequence differentials. These complexes refine the Rumin complex and retain the cohomology of the underlying multicomplex, providing a new tool for the study of subRiemannian geometry, particularly on Carnot groups.
Cite
@article{arxiv.2602.01214,
title = {Spectral complexes from truncated multicomplexes},
author = {Francesca Tripaldi},
journal= {arXiv preprint arXiv:2602.01214},
year = {2026}
}
Comments
32 pages, 1 figure