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Examples of foliations with infinite dimensional special cohomology

2018
journal article
article
10.1007/s10231-017-0684-x
Journal
Annali di Matematica Pura ed Applicata
35
Author
Czarnecki Andrzej

Raźny Paweł
Volume
197
Number
2
Pages
399-409
ISSN
0373-3114
eISSN
1618-1891
Keywords in English

foliations

transverse structures

basic cohomology

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.

Affiliation
Wydział Matematyki i Informatyki : Instytut Matematyki
Scopus© citations
1
cris.lastimport.wos2024-04-10T00:29:04Z
dc.abstract.enWe 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.pl
dc.affiliationWydział Matematyki i Informatyki : Instytut Matematykipl
dc.contributor.authorCzarnecki, Andrzej - 135936 pl
dc.contributor.authorRaźny, Paweł - 188789 pl
dc.date.accessioned2018-04-10T14:14:42Z
dc.date.available2018-04-10T14:14:42Z
dc.date.issued2018pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number2pl
dc.description.physical399-409pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume197pl
dc.identifier.doi10.1007/s10231-017-0684-xpl
dc.identifier.eissn1618-1891pl
dc.identifier.issn0373-3114pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/53131
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 3.0 Polska*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/pl/legalcode*
dc.share.typeinne
dc.subject.enfoliationspl
dc.subject.entransverse structurespl
dc.subject.enbasic cohomologypl
dc.subtypeArticlepl
dc.titleExamples of foliations with infinite dimensional special cohomologypl
dc.title.journalAnnali di Matematica Pura ed Applicatapl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T00:29:04Z
dc.abstract.enpl
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.
dc.affiliationpl
Wydział Matematyki i Informatyki : Instytut Matematyki
dc.contributor.authorpl
Czarnecki, Andrzej - 135936
dc.contributor.authorpl
Raźny, Paweł - 188789
dc.date.accessioned
2018-04-10T14:14:42Z
dc.date.available
2018-04-10T14:14:42Z
dc.date.issuedpl
2018
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
2
dc.description.physicalpl
399-409
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
197
dc.identifier.doipl
10.1007/s10231-017-0684-x
dc.identifier.eissnpl
1618-1891
dc.identifier.issnpl
0373-3114
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/53131
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 3.0 Polska
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/3.0/pl/legalcode
dc.share.type
inne
dc.subject.enpl
foliations
dc.subject.enpl
transverse structures
dc.subject.enpl
basic cohomology
dc.subtypepl
Article
dc.titlepl
Examples of foliations with infinite dimensional special cohomology
dc.title.journalpl
Annali di Matematica Pura ed Applicata
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations
Wydział Matematyki i Informatyki
Czarnecki, Andrzej
Raźny, Paweł

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Except as otherwise noted, this item is licensed under : Udzielam licencji. Uznanie autorstwa 3.0 Polska

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