Abstract
AbstractThe 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.
Publisher
Cambridge University Press (CUP)
Reference23 articles.
1. [19] Thurston W. , The geometry and topology of three-manifolds, available athttp://www.msri.org/publications/books/gt3m/ 2002.
2. [6] Fernández M. , Ibáñez R. and de León M. , ‘On a Brylinski conjecture for compact symplectic manifolds’, Quaternionic Structures in Mathematics and Physics, Trieste, 1994 (SISSA, Trieste, 1998), pp. 119–126.
3. Introduction to Foliations and Lie Groupoids
4. Orbifold Gromov-Witten theory
5. [10] Józefowicz M. and Wolak R. , ‘A few remarks on the geometry of the space of leaf closures of a Riemannian foliation’, Geometry and Topology of Manifolds, Banach Center Publications, 76 (Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2007), pp. 395–409.
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