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arXiv · 1605.03858

The Frolicher-type inequalities of foliations

Paweł Raźny
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Abstract

The purpose of this article is to adapt the Frolicher-type inequality to the case of transversely holomorphic and transversely symplectic foliations. These inequalities can be used to e.g. determine whether a given foliation can be made transversely Kahler (due to their relations to various dd'-lemmas). Our main results can be also stated for orbifolds as we point out in section 5 of this paper.

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Paweł Raźny. 2017-01-06. The Frolicher-type inequalities of foliations. https://doi.org/10.1016/j.geomphys.2017.01.005

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