Multicomplexes on Carnot Groups and Their Associated Spectral Sequence

被引：1

作者：

Lerario, Antonio ^{[1
]}

Tripaldi, Francesca ^{[2
]}

机构：

[1] Sissa, Math Area, Via Bonomea,265, I-34146 Trieste, Italy

[2] Univ Bern, Math Inst, Sidlerstr 5, CH-3012 Bern, Switzerland

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2023年 / 33卷 / 07期

基金：

瑞士国家科学基金会;

关键词：

Carnot groups; Multicomplexes; Spectral sequences; Rumin complex; DIFFERENTIAL FORMS; COMPLEX;

D O I：

10.1007/s12220-023-01259-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：22

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