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A REMARK ON THE BRYLINSKI CONJECTURE FOR ORBIFOLDS

Part of: Symplectic geometry, contact geometry Differential topology

Published online by Cambridge University Press:  11 October 2011

L. BAK  and
A. CZARNECKI
L. BAK
Affiliation:
Institute of Mathematics, Jagiellonian University, Krakow, Poland (email: lukasz.bak@im.uj.edu.pl)
A. CZARNECKI*
Affiliation:
Institute of Mathematics, Jagiellonian University, Krakow, Poland (email: andrzej.czarnecki@im.uj.edu.pl)
*
✉For correspondence; e-mail: andrzej.czarnecki@im.uj.edu.pl
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Abstract

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The paper presents a proof of the Brylinski conjecture for compact Kähler orbifolds. The result is a corollary of the foliated version of the Mathieu theorem on symplectic harmonic representations of de Rham cohomology classes. The proofs are based on the idea of representing an orbifold as the leaf space of a Riemannian foliation and on the correspondence between foliated and holonomy invariant objects for foliated manifolds.

Keywords

transversally symplectic foliationssymplectic orbifoldsBrylinski conjectureMathieu theorem

MSC classification

Secondary: 53D05: Symplectic manifolds, general 57R18: Topology and geometry of orbifolds
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 91 , Issue 1 , August 2011 , pp. 1 - 12
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2011

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