English

A remark on the Brylinski conjecture for orbifolds

Differential Geometry 2010-01-15 v1 Symplectic Geometry

Abstract

We present reformulation of Mathieu's result on representing cohomology classes of symplectic manifold with symplectically harmonic forms. We apply it to the case of foliated manifolds with transversally symplectic structure and to symplectic orbifolds. We obtain in particular that such representation is always possible for compact K\"{a}hler orbifolds.

Keywords

Cite

@article{arxiv.1001.2435,
  title  = {A remark on the Brylinski conjecture for orbifolds},
  author = {Lukasz Bak and Andrzej Czarnecki},
  journal= {arXiv preprint arXiv:1001.2435},
  year   = {2010}
}

Comments

10 pages

R2 v1 2026-06-21T14:34:48.838Z