Multicomplexes on Carnot Groups and Their Associated Spectral Sequence

The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms by homogeneous weights that computes the de Rham cohomology of the underlying group.

Detalles Bibliográficos
Autores principales: Lerario, Antonio, Tripaldi, Francesca
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer US 2023
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10119276/
https://www.ncbi.nlm.nih.gov/pubmed/37096118
http://dx.doi.org/10.1007/s12220-023-01259-0
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author Lerario, Antonio
Tripaldi, Francesca
author_facet Lerario, Antonio
Tripaldi, Francesca
author_sort Lerario, Antonio
collection PubMed
description The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms by homogeneous weights that computes the de Rham cohomology of the underlying group.
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spelling pubmed-101192762023-04-22 Multicomplexes on Carnot Groups and Their Associated Spectral Sequence Lerario, Antonio Tripaldi, Francesca J Geom Anal Article The aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms by homogeneous weights that computes the de Rham cohomology of the underlying group. Springer US 2023-04-20 2023 /pmc/articles/PMC10119276/ /pubmed/37096118 http://dx.doi.org/10.1007/s12220-023-01259-0 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Lerario, Antonio
Tripaldi, Francesca
Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title_full Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title_fullStr Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title_full_unstemmed Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title_short Multicomplexes on Carnot Groups and Their Associated Spectral Sequence
title_sort multicomplexes on carnot groups and their associated spectral sequence
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10119276/
https://www.ncbi.nlm.nih.gov/pubmed/37096118
http://dx.doi.org/10.1007/s12220-023-01259-0
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