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Examples of foliations with infinite dimensional special cohomology

被引：0
|
作者：
Andrzej Czarnecki
Paweł Raźny
机构：
[1] Jagiellonian University,
来源：
Annali di Matematica Pura ed Applicata (1923 -) | 2018年 / 197卷
关键词：
Foliations; Transverse structures; Basic cohomology; 53C12; 57R18;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We present two examples of foliations with infinite dimensional basic symplectic and complex cohomologies, along with a general sufficient condition for such phenomena. This puts restrictions on possible generalisations of several finiteness results from Riemannian foliations to any broader class. The examples are also noteworthy for the unusual behaviour of their basic de Rham cohomology.
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页码：399 / 409
页数：10
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