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Examples of foliations with infinite dimensional special cohomology
Published 5 May 2017 in math.DG | (1705.02216v1)
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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