A remark on the Brylinski conjecture for orbifolds

Details A remark on the Brylinski conjecture for orbifolds A remark on the Brylinski conjecture for orbifolds

2010-01-14

arxiv.org/abs/1001.2435v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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.

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