English

The Frolicher-type inequalities of foliations

Differential Geometry 2017-03-08 v3

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.

Keywords

Cite

@article{arxiv.1605.03858,
  title  = {The Frolicher-type inequalities of foliations},
  author = {Paweł Raźny},
  journal= {arXiv preprint arXiv:1605.03858},
  year   = {2017}
}