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arXiv · 1705.02216

Examples of foliations with infinite dimensional special cohomology

Andrzej Czarnecki·Paweł Raźny
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Abstract

We present examples of foliations with infinite dimensional basic symplectic and com- plex cohomologies, along with a general sufficient condition for such phenomena. This puts re- strictions on possible generalizations 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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Andrzej Czarnecki, Paweł Raźny. 2017-05-05. Examples of foliations with infinite dimensional special cohomology. https://arxiv.org/abs/1705.02216

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