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arXiv · 2602.01214

Spectral complexes from truncated multicomplexes

Francesca Tripaldi
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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.

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Francesca Tripaldi. 2026-02-01. Spectral complexes from truncated multicomplexes. https://arxiv.org/abs/2602.01214

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