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Examples of foliations with infinite dimensional special cohomology
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Examples of foliations with infinite dimensional special cohomology
Bibliographic description
| title: | Examples of foliations with infinite dimensional special cohomology |
| author: | Czarnecki Andrzej  , Raźny Paweł
|
| journal title: | Annali di Matematica Pura ed Applicata |
| volume: | 197 |
| issue: | 2 |
| date of publication : | 2018 |
| pages: | 399-409 |
| ISSN: |
0373-3114 |
| eISSN: |
1618-1891 |
| DOI: | |
| language: | English |
| journal language: | English |
| abstract in English: | 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. |
| keywords in English: | foliations, transverse structures, basic cohomology |
| affiliation: | Wydział Matematyki i Informatyki : Instytut Matematyki |
| type: | journal article |
| subtype: | academic paper |
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Except where otherwise noted, this item's license is described as Udzielam licencji. Uznanie autorstwa 3.0 Polska
Projekt „Repozytorium otwartego dostępu do dorobku naukowego i dydaktycznego UJ” współfinansowany w ramach poddziałania 2.3.1 „Cyfrowe udostępnianie zasobów nauki” Programu Operacyjnego Polska Cyfrowa z Europejskiego Funduszu Rozwoju Regionalnego i budżetu państwa na podstawie umowy o dofinansowanie nr POPC.02.03.01-00-0030/17-00
