Tytuł pozycji:
Examples of foliations with infinite dimensional special cohomology
- Tytuł:
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Examples of foliations with infinite dimensional special cohomology
- Autorzy:
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Raźny, Paweł
Czarnecki, Andrzej
- Data publikacji:
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2018
- Słowa kluczowe:
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basic cohomology
transverse structures
foliations
- Język:
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angielski
- ISBN, ISSN:
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03733114
- Prawa:
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Udzielam licencji. Uznanie autorstwa 3.0 Polska
http://creativecommons.org/licenses/by/3.0/pl/legalcode
- Dostawca treści:
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Repozytorium Uniwersytetu Jagiellońskiego
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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.