Spectral complexes from truncated multicomplexes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Accesso online: | |
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| _version_ | 1866915767322148864 |
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| author | Tripaldi, Francesca |
| author_facet | Tripaldi, Francesca |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_01214 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Spectral complexes from truncated multicomplexes Tripaldi, Francesca Algebraic Topology Differential Geometry 18G40, 46L87, 22E25 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. |
| title | Spectral complexes from truncated multicomplexes |
| topic | Algebraic Topology Differential Geometry 18G40, 46L87, 22E25 |
| url | https://arxiv.org/abs/2602.01214 |